A very quick summary: about the same.
Intel seems to still have the lead on quickly going to lower energy states, but AMD still has the upper hand on better node: TSMCs 7nm is better than Intels 10nm+, but 11th gen 10++ seems to have finally matured enough to be on par, so Tiger Lake will be interesting to see.
If your parameter is "I want a notebook today", then Renoir Ryzens are the best to go[0]. If you can wait until the late part of the year, maybe Tiger Lake will shake things up (again) in the mobile arena, or maybe they're spilling rumors to keep people away from AMD as much as they can.
[0] HOWEVER it seems there's no well-rounded notebook with Zen2 yet. I was almost decided for an Asus Zephyrus G14, but decided to wait a bit and see if something a bit larger (with larger battery too) becomes available in my country.