What I meant was the graphics hardware rather than the systems in general, which I could have been clearer about. Looking at the registers for the 2600's TIA and 400/800/etc. CTIA/GTIA, they seem far too similar (while simultaneously being considerably different from other graphics hardware of the time) to write off as coincidence.
Besides the very extensive hardware differences, to the best of my recollection there was no overlap at all in software/firmware.