You’re overthinking this way too much. If you’ve been a ~240ish FTP in the past, and are now 175W, your FTP is going to go up pretty quickly when you resume training, especially with some intensity.
You should adapt your FTP when YOU feel like FTP has gone up, whether that’s by RPE, consistent HR indications, or breakthrough workouts, and last testing… preferably some combination of those. The strongest indicators I get for most of my athletes are the combination of RPE, consistently lower HRs at threshold levels and breakthrough workouts. For other athletes, you pull it out of them by asking them do things you think they can do but that they haven’t done yet (testing).
You should not base raising your FTP on completion of any arbitrary (or not arbitrary) single workout. If you think your FTP has gone up, then test it and find out.
If your FTP has gone up, you should adjust it up, take a step or two back in your SST progression and start again. If you have strong indications that FTP has increased (and I don’t mean by like 5W here, I mean meaningfully increased), then you should confirm that, and then adjust it and train to that new number.
Bottom Line: your FTP setting should be a realistic reflection of your current capabilities, nothing more or less than that, regardless of what adaptive training or your calendar says.
I typically tested a lot more frequently early in the season than in race/peak phases. I would do a full boat of testing at the start of training, and then I’d do confirmation testing at different intervals at least monthly, often more than that, and if I tested well and felt like FTP was up, I adjusted my progressions. Then I’d do some testing pre-VO2, some more post-VO2, and then I usually only tested if I felt something had changed beyond that or for a specific power that I was training for key events.
Point is, early season you might “hunt” FTP gains in testing as you’re coming back onto fitness after your offseason. Later in the season, you only test for FTP gains if you feel them in your training rather than doing so based on the calendar. That’s my opinion only.