I know RV snowbirders who do it both ways. Some like to keep moving around, actually take two or three months moving toward their January-February place.
I know others who go to the same place every winter, stay there for the whole winter, doing stuff with the community that also goes to the same place every winter. This is like the sticks and bricks snowbirders who have a winter home in a warm place and stay there for the winter, and are part of the same large community there every winter.
I also have a friend who snowbirds in property she rents or owns in Florida, Southern California, and Costa Rica. Thus sticks and bricks, but not one place for the whole winter. I can't afford to do that, or if I can, that's not how I choose to spend my money.
I do a different kind of snowbirding, going to different warm places for a few weeks at a time, only I don't drag along the RV because I either have places to stay with relatives (really big family) or I am on a ship for a long cruise in warm waters. And sometimes I go north to enjoy winter sports, because my first 22 years were in the Winter-Water Wonderland, as it called itself then.
I've thought about doing it in the RV, but I know I would find staying on one place to be too confining, and when one gets into RV snowbirding territory, there is kind of a limited area in which to move around, and a lot of it is all the same thing. Variation would be mostly year to year, i.e. Florida one year, Arizona another, Gulf Coast another, Texas another.
All depends on your preferences and resources.