Didn't want to start a debate, just reporting my experience, so other forum members could potentially fix things if they are seeing the same problem.
I bought the first third brake light LED replacement using recommendations/links off this forum in 2019, and pretty quickly started seeing the starting problem.
Despite a lot of foul language every time I had to unhook the seat belt and fish my key fob out of my pocket to press, or at least come very close to the Start button, the problem never got any better. This continued over a year's time.
Despite the sticker shock over the price of the Diode Dynamics LEDs, my frustration was to the point where I would have spend double or triple that price if it just fixed the problem.
I'm sort of big on scientific method, so I made sure that the change to the DD LED was the only thing I did. Zero problems since then.
Note - All my other incandescent to LED replacements are various JDM lamps including the two bed lamps right next to the third brake light lamp, but I'm thinking that they aren't on at start time.