Removable teeth, no. Removable toothbar, yes. Very convenient to remove in about 5 minutes for those fine finishing jobs or those where you just don't want the teeth on.
I backdrag all the time with my toothbar on. I use a combination of dragging with the teeth and using the bottom of my bucket for final finishing. Granted, it's easier to backdrag without the toothbar on, but not impossible at all.
Another good use of the toothbar when working in dirty soil is that one can just put the teeth down, backdrag and remove roots and trash before digging and removing the soil.
I had a great example of this the last two weekends. I removed several stumps and needed to prepare the ground for a crushcrete floor pole barn. There were thousands of roots all through the area. Between digging out the largest with my backhoe, and backdragging with the toothbar, I got most of the offenders out.
The next weekend, landscape rake and boxblade along with using the toothbar, and the area was cleaned completely and leveled, ready for adding the crushcrete.
Just an example how versatile the toothbar is, and that backdragging in certain ways is helpful as all get out!
John