I printed with PETG, flat side of the lid down, no support, .16mm layers, 90% infill.
Might want to stick a bit of foam or cardstock inside the top (like on other bottles) to give a sacrificial layer that will still let the top spin off when the cardstock is stuck in old glue. Keep your threads clean to make sure this doesn't get stuck on.
Don't wrench this down, as the weak axis is also the one stressed by over tightening: delamination may result.