I turn both 1 and 2 turn HF's. Just depends on what the finished piece will be. The yellow vase was 2 turned, as the intent was a fully filled gloss finish, difficult to polish out if badly warped. If I want to texture with a rotating tool like the Sorby or smaller Elf tool, it needs to be 2 turned so its perfectly round., like the potpourri box or jar. How much of the ID will get returned depends on how much of it is accessible - the vase only down inside the neck, the jar all of it. Returning something like the vase will require a steady rest, as too much of the lower end is removed from the OD so there is not enough support for hollowing. End grain pieces won't deform as much as face grain and can be left a bit thinner for 2 turning. The 3rd pic is walnut burl that didn't warp too badly that I was able to just trim up and embellish some.
I do more 1 turn, down to 1/8" to 1/4" thickness. The 4th pic is end grain spalted white oak, 14-1/4" OD. The 5th pic is a 9" sphere, spindle turned to sphere shape, rotated to face grain orientation and the sphere finished, then hollowed.
All pieces dried with grocery bags or kraft paper sheets with tenons left on. They are remounted and sanded, finish applied, cured, buffed, before the tenon is removed as the last step. Depending on how warped a piece is, I may just rotate it by hand while using a drill sander. The same is true for buffing. I prefer to keep the piece lathe mounted so vs a mounted sander or buff wheel. I rotate the HS on my lathe to 90° to the bed and have full easy access to the turning.
I'd like to know where people get wood billets/blanks 8 or 10" cubed that are dry. The wax coated blanks I have purchased, which were several years old when I bought them, were still wet in the center when I cut them a few years later, enough to cause some warp.