I think New Who has definitely danced on the razor's edge, getting by with narrative shortcuts as long as the emotional resonance lands. And when a story doesn't land with you, those shortcuts are very visible.
I actually do like the small bits of exploration of the a Timeless Child that RTD has done using it to inform the Doctor's personality in new ways. It would be great to see a Jo Martin story or something like that, though.
Trying another "Flux"-type season could be interesting too - sort of a hybrid between the old serials and more modern episodes. Hell, the eight-episode seasons are practically begging for it.
Ugh, I barely engage with the Endeavor System, so I'm not 100% sure.