WADR the bulk of your article is what you've just said, and what I do, which is literally how this game is played (vanilla or otherwise): Do every mission possible and research as fast as possible. What's happening here is that there is apparently exactly ONE golden path to merely survive. One MUST unlock every mission type immediately or sooner while more or less disregarding all other research. One must also immediately (or sooner) accrue well over $1.7 million in monthly bills that are most certain to go unpaid in that first few months. One must ALSO research the requisites for Chateau before any of this or else you'll go broke (see above). By "immediately" I mean in the first month. The punishment for not immediately taking that exact path is basically being rectally violated by the game from the 4th month on.
I've been hiring brainers as soon as I can afford them, and doing at least 90% missions (couldn't do the first haunted forest, for example, and didn't have peasants for the valley, but those missions are rare). On each attempt I'm up to 10 brainers before the Infamy tanks. The first month, it's anywhere from -1500 to -2400. On the following months it's potluck but so far anywhere from 1400 to -1400. I've estimated the former to be 4000 or more lost, and subsequent months to be up to 4000 with wild variability.
I think a lot of players here have played the mod through its evolution and thus were introduced to these changes gradually. When I played Piratez back in 2018 or whenever, there was no (specific, competing) sky ninja base; there wasn't a huge imperative on, for example, unlocking lokk'naar and undersea missions; one's major goals -- direct goals, not a byproduct of a meta-plan to front-load certain techs -- were to research weapons, armor, craft, and people. That's what I've been doing, and if that's the problem, it isn't one that any X-Com player is prepared for.
One little caveat is that I've saved about 1.5 mil in chips that I haven't cashed in. That will get me one extra month. I otherwise know how to play the game and have little to no problem in the battlescape. It's just the addition of this base that renders all of the other mechanics cumbersome and prohibitive. I love the sheer volume of content, but it should follow from that sheer volume that there ought not to be a perfect (or required!!) golden path to survive the beginning of the game.