There are MANY people who use caravans or motorhomes/campervans without using commercial sites. We don't even have a hook up in out campervan, though we have the fittings if we wanted to fit one.
If/when bottled gas is banned, they'll have to opt for another energy source or do without, it's that simple.
That's probably decades away; plenty of time to decide your course of action.
But the largest part of our usage is for the Sealed Knot, where we are set up for a weekend in a field with no facilities beyond water points and portaloos.
While the SK is only a very tiny portion of the caravan/campervan community, there are many other organisations which run events where the camping will be similar.
You forget the strength of EV sales. There'll be a tipping point where camping/caravanning venues won't sufrive unless they have elec supplies.
IF you want an offgrid experience you can continue to seek out those without power, but it's not really offgrid if you're burning bottles of calor gas in a plywood and formica box on wheels.
MArket forces will dictate that sites provide electricity.
And caravans will not be retrofitted with a large battery and inverter, because that would take almost all of them over their MGW
How close to Mgw are you?
Even with todays techbology, a 20 kWh battery only weighs as much as a tall adult male.
With the CATL solid state technology, maybe only 50 kg.
And I should think that the car you tow with, will in future be an EV with a high capacity battery; and will no doubt be able to supply your caravan too,, suplementing whatever battery you can fit within the caravan itself.
To put some context to 20 kWh, that's a continuous 5amps at mains voltage for over 16 hours That's a heck of a lot of power in summer or autumn. Winter spring could be more challenging, as you might need heating. I suggest caravans of the future are better insulated.
This all seems absolutely trivial stuff to me.
The only problem with carvanners is people stuck in their ways and unwilling to change.
CAmping is more of an issue, as battery, charging cable, induction cooker - are all rather heavy.
Those are the niche aplications where liquid fuels will remain, initially as fossil fuels, but over time an increasing component will be synthetic. Maybe they'll eventually be 'green'.