It all boils down to what you want and expect out of your experience. Lots of people own their own lots, some even have RV and even mobile homes on their "lot" they own.
I think the advantage of owning your own "space" is so you have an assurance you have somewhere to return to each year. I think you have the assurance it's the SAME place every year. You have the comfort knowing it's "yours". The a lot of personal security in having your own site.
However, if you are the adventurous type, and like change and variety, then lot ownership is not for you. You'll have the responsibility of taking care of it and maintaining it 24x7x365. Granted you may hire someone to tend to the property when you are gone, but you are still responsible for it. Ownership means having roots. If you enjoy going to new places, meeting new people, and enjoy planning ahead for the next year's season, then lot ownership will only be a real millstone around your neck.
But, if you are the type that wants that security of your own space, the guarantee it will be there when you come back, it will remain the same, it is YOURS, then buying and anchoring down is for you.
As I stated above, folks have been doing "lot" purchasing in Florida for a LONG time. Here's a photo of my grandparents, taken sometime in the middle 1950's. They purchased a lot in Florida, complete with trailer. They went to Florida for years and years until age wouldn't let them go any more. Then they sold it.

My grandmothers' sister and her husband also had a "trailer" next to them. They spent a lot of time together. I wasn't even born yet when these photos were taken:
