I have to say Swift Deployment is my second most favoured option, even if the votecount indicates it's losing by a lot.
Yes, staying with our friends is one of the major draws of disguising ourselves in the first place and we've payed a lot of XP already to maintain our position as a Dynast, but ultimately a large aprt of Swift Deployments benefits is that it offers the chance to give ourselves a large boost to our growth while also helping Creation and it's not actually a permanent dedication to being a murderhobo on Zao's payroll.
It's something we for the express purpose of powering up enough to actually be a credible player that can fend off people on the level of Anys Syn and once we are more capable of facing serious threats and our firends are more capable of defending themselves as well, we'd get the chance to link up with them again and advance our goal within the Realm.
It's not going to make us an Admiral as fast as Developing Connections and we'd only be seeing whoever of our friends accompanies us on the missions (which at the moment could probably only be Nilul and Ivory), but assuming we survive the Missions themselves, we'd end up a lot more capable of being an Admiral in such a hostile environment and it'd reduce the amount of assassinations that potentially risk our friends, give them more time to grow stronger on their own and discourage any moves against them because noone can know where Zao's pet Solar is currently lurking around.
I still prefer Connections, because I think it'd be more interesting from a narrative perspective, but Swift Deployment is at the very least preferable to ignoring Creationa t large, holing ourselves up in the Academy and hoping our enemies won't array enough forces against us to get past the defensive advantage in spite of the fact that we'll be hurting our growthrate just because we want more Slice of Life updates.