I have several Provaris. full size with extension caps. Most of them wear Smoktech large tanks which are just a hair wider than the top connector, on those the carto screws directly into the connector on the Provari. No adapter necessary I get plenty of draw.
I use some of the sandblasted clear Phiniac tallboys on them as well, even though they are a tad wider than the top plate on the Provari is. Carto screws directly into the top connector on the Provari. No adapter necessary there as well.
All my tanks use dcc LR cartos in them and I vape most of my juices between 4.2 and 4.6 which seems to be the 'sweet spot' for them. As they are mass produced they will vary in usability. I got a bunch with the air holes drilled down at the very edge of the threading, some into the threading. No adapter can fix that problem.
I DIY so all my juices are taste tested for that range as well.
YMMV