This doesn't have mobile (snapdragon) benchmarks and no M1 Pro/Max benchmarks too..
to others: I understand it's not apple-to-apple comparison when comparing against different platforms, but I just want to get a sensing of how close phone chips are to overtaking laptop/desktop variants (E.g. If snapdragon 888 is run on a desktop, what's the desktop equivalent intel/amd model?
You are probably not going to find anything even close to what you are looking for, and specially not in one place. What you are asking will require a lot of research and comparing the results of many reviewers online.
If you wana know how good or bad a software may
run (and please keep in mind the word "may" is very important) then you will have to check several websites/youtubers, which will all use different approaches and methodologies for benchmarking/testing.
As you wrote it wont be apples to apples, most likely it wont even be apples to elephants.
I believe the devices using M1 Pro/MAX were just announced 3 days ago, you wont see many benchmarks out there, not till later.
As for phone chips overtaking laptop and dekstop variants, no one can tell when it will happend or how close we are. If it ever happend at all. No one have such a powerfull crystal ball. One thing is for sure if it ever happned, it wont happend tomorrow, and probably not anytime soon.