Theoretically speaking it's likely to be the main limiter for ship buildrate, but that's in relation to other ships in construction. Which is largely non-combat logistical vessels currently, since the Soyuz had a lot of production during the war. But if you were going to be simultaeneously manufacturing, say, the Soyuz and the Galileo, it'll impact the ratio of how many get made of each.
But again, these ratings are kind of the reviews going "I expect a C, if there's a D there better be a B somewhere else to justify the tradeoff".
I mean, given that we've built a healthy number of Soyuz at this point, and it's a much more limited design... I'd be alright with allowing production of that to tail off slightly as we start pumping these out like hotcakes. How would it effect the total number of ships we can build assuming a switchover to pumping out Galileos for several years?
Six phasers and two torpedoes upgrades our Tactical rating, single target damage, and ability to take on other capital ships by like, a lot. And it's not unreasonable to expect this thing to fight capital ships in wartime, because by every possible standard it is one in terms of tonnage.
This does mean exceeding the brief somewhat, but I think "We built a workhorse cruiser which is armed like a frontline warship yet cheap to be built in large numbers, and can do oodles of science." is an opportunity we could grasp with both hands.
This could be the ship which defines a generation of Starfleet. A budget Constitution. Dear god.