the micromanagement they require is just too much.. I don't think it's worth it.
Also when the builder cost get too high, I just end up many many unimproved tiles and since it's not intuitive to see which tiles are worked in the city I might not even notice
Really ?
With all due respect for a fellow Civ6 player, allow me to harshly disagree with your statement.
My guess is that you took bad habits in Civ5 to set your workers to auto-improve and queued all buildings in more or less random order in your one-tile-capital, "NOW ONTO CRUSH MY ENNEMIES". Is it ?
Well if you had taken control of them in Civ5 you would realize how amazing the builder system is. It shifts more power to the player, in adding more layers of decision making, prioritizing, and city planning. They actually require way LESS micro-managing than the workers of Civ5 (given that you weren't setting them to auto-inprove) and the actions they undertake are more impactful.
Furthermore, to check which tiles are worked.. Citizen management. You can manually lock tiles or let your advisor decide and give her general directions (focus on food, on prod, etc).
With the new pins system, you can lay out your city planning in a second. Pin the tiles you want to save for specific districts and remember to cut down forests/jungle on these and not improve them.
I often find myself straight up pining at least Commercial District, Housing spot for good Appeal for mid-late game, and a distant <6 tiles Factory spot that would be adjacent to other cities' factories.
My advice to you is to just dedicate a bit of time/effort to get used to this new system and I guarantee you will embrace it. I think your current opinion is just another case of "fear of change".
Have fun.