strange behavior from LED that replaced CFL
This is G24Q, a dedicated FL mount. It means it's wired to a FL ballast and starter, has a reflector to catch omnidirectional emission pattern of a FL - basically all the infrastructure to run a FL. While it is technically possible to build a LED that can work simulating a FL, it's counter-productive. 

If you want to have a LED light, then do it right all the way: remove old FL fixture and install a LED fixture. Incandescent, fluorescent and LED are very different in their principles of operation and every time when you see one tech trying to disguise as another it's a shitty, ad-hoc solution that made compromises to squeeze into wrong niche. Even light emission patterns are vastly different, so the light source not only has to be powered by proper electronics but also positioned right.

BTW, there is very little point of replacing FLs with LEDs. Power efficiency is so similar that costs of the switch are hardly recoverable. LEDs have faster start-up time, so it makes sense to replace ones that are often flicked on and off, but for lights that stay on for long periods, I'd keep FLs. If issue is with light color quality, then look for a better FL. Worst LEDs are much worse than worst FLs here, while best FLs still have an edge over best LEDs. None can come close to an incandescent light, though.