Okay, So i was asked In the discord why i prefer the warbringer titan over the warlord titan, Disregarding cost, because with titans the cost is massive no matter what, and cost was not a consideration when i first decided on the warbringer as my second favorite titan anyway. lets talk about the advantages of a warbringer titan compared to the warlord titan
The main advantage of the Warbringer titan comapred to a warlord is that the warbringer has the quake cannon. this is a 480" range weapon, compared to the warlord 280" range maximum, the quake cannon also has the indirect fire rule, which mean even if the enemy is hiding behind enough cover that the warbringer cant see them, it can still kill them. meanwhile, the Quake cannon on the warlord only has the ignores cover rule, which means that it is shooting in a direct fire arc, and cant arc its shots to hit where its needed. but thats just the main gun
the over all damage of a warbringer compared to a warlord is weaker, there is no doubt about that, but the advantage of a warlord titan mostly comes from its ability to fight other titans, As a space marine chapter and not a forge world, we do not have the ability to specialize our titans. the warbringer can bring its own AA, it can take a gatling cannon for punching down, and it can take a volcano cannon for "fuck everything in that general area". this added to its quake cannon means that only a warlord speced for long range engagment will be on even footing with a warbringer. It also means that a Warbringer can support itself, a major weakness for titans is that they are generally weak to air attack by fast moving aircraft. with the Anvuliis AA, that suddenly becomes much less of a concern. and while the Warbringer titan is still weak to Infantry. but that is nullified when even space marines only move 6" a turn, while the warbringer moves 12". and as a warbringer has the titanic Key word, it can fire even while falling back.
Now Self sufficency and range are all well and good, but a titan needs to be able to fight titans, so lets talk about a warbringer verus a warlord, because thats the only fight that its not punching down (and therfore its volcano cannon isnt going to be enough for)
a warlord titan with its max range load out has two range bands, 280" and 200". my proposed warbringer titan meanwhile has three range bands, 480", 120", and 78". however, in most secnario's where titans are involved, the fight will never reach past the 480" range band, the reason for that is because it takes 20 turns for the warlord to cross that range band to its maxium range, but lets assume the warbringer is completly unwilling to accept fire from the warlord, that is still 19 turns of fire (as the warbringer has 12" move speed and the warlord 10", the warlord will never catch up and can be kited, but thats a whole other thing. and not being accounted for.) 19 turns of quake cannon fire will deal on average 152 Wounds of damage. with a trend towards higher (64% chance of dealing 8 or more wounds a turn), meaning a single warbringer can fight 2 warlords assuming both they start at the maximum range apart.
Now if the warlord starts within 280" the math changes, as the warlords 2 Quake cannons will deal on average 36 wounds per turn. but that is where most of its damage comes from, once it hits the 200" range band, it only gains 8 wounds per turn, going up to 44. to be frank, the warlord is a titan killer, its meant to kill other titans, Do not epect the warbringer titan to be able to handle warlord titans on its own. for all it will take is the warlord being properly equiped and getting a ambush off for the warbringer to fall. if the situation calls for it, the warbringer can last against a warlord titan, long enough for orbital support to engage. and perhaps even take down the warlord titan if it is lucky (or as oshha put it, has a plucky space marine ally to board the titan).
Now that i've talked about all of that, let me explain my choice of load out for the warbringer titan, as the astute among you have probably realized, i equiped the warlord titan with quake cannons and apoc launchers, which is the absoulte best loadout for titan sniping by a warlord. but my warbringer titan isn't equipped the same way, it has a reaver gatling cannon, and a nemis volcano cannon. the reasoning for this once again falls under self sufficiency, the warbringer titan equipped this way can take on any threat that is not a warlord or above, and come out the victor. there is also the fact that the volcano cannon is the most common weapon to be described as having anti orbital capabilities.
In short, the warbringer titan is able to stay more versatile then the warlord titan while preserving its ability to punch up. which is incredibly important considering right now our only method for dealing with knight scale and above targets is orbital bombardment. somthing that we will still need mind you, we will not be making a titan legion capable of fighting another titan legion in the timeline of this quest. but a warbringer titan means that no longer can they walk uncontested, and smaller threats, such as gargants or massive fortress complex's can be breached without Battle barges to try and batter them down, a very useful thing as titans tend to leave the area just a smidge more habitable then a battle barge.
Edit:
TLDR: Warbringer titan good at many things, Warlord titan is great at one thing at a time. If we want to have a pure anti titan force, warlords are better, if we want titans that can be deployed to most situations, we want warbringers.