If you pretend not to use time, everyone will do an implicit time mapping in their head anyway. I've never seen it go any other way.

Surprisingly prob yes

But still we are much better at estimating complexity

Time estimations usually tends to be overly optimistic. I don’t know why. Maybe the desire to please the PO. Or the fact that we never seem to take into account factors such as having a bad day, interruptions, context switch.

T-shirt sizes or even story points are way more effective.

The PO can later translate it to time after the team reaches certain velocity.

I have been developing software for over twenty years, I still suck at giving time estimates.

It's probably not possible to fully prevent people from thinking about time at all, but the more friction you can add, the better.

That's true. Anyplace I've worked where we did planning poker, "points" were always just a proxy for time.