Do the Pixel Buds not have a Find feature? I have the same experience as you with Tile, but I use the "Find" feature on my iPhone to locate my AirPods all the time.
Yes, Find My Device was activated on my pixel last night and had an entry for my pixel buds.
They do, but it doesn't work very well. For example, if I go into "find my device" it says my buds are at the gym. When I lost them a few months ago it said they were at the hospital, but I eventually found them at home.