It's definitely a good question. While it may not be a bid deal whether the system gives you a high enough score to be enrolled in FSD beta participation, that same system is used for Tesla insurance and could impact a driver's premium. It's an opt in situation but pretty annoying that Tesla uses a beta scoring system as a basis for insurance pricing.
This is one of the reasons I'm trying out Progressive's snapshot rather than switching to Tesla insurance since snapshot only assesses me for one renewal cycle rather than constantly. That way, the good behavior will lower my premium going forward rather than allowing rare occasional false fwd collision warnings or hard braking (due to oblivious possums crossing the street) to immediately (if temporarily) raise my monthly premium.
All that said, you could make the fwd collision alert more sensitive than the level used by the score system. It's based on medium so you could set it to early which, depending on your reaction time, may allow you to resolve an issue before the score is dinged. Even if you don't catch it initially, if you're able to modify your speed/road position enough to avoid getting the early warnings, you'll know that the medium threshold won't be crossed and your score will improve.