As Prof John L stated in an earlier posting, the wisdom or otherwise of leaving the van permanently on an EHU, and hence with the mains charger active, depends on the type of charger the van has.
Whilst any unregulated charger will be a complete no no, even many regulated ones would not be doing the battery any long term favours. as these most probably regulate at 13.8 volts as a PSU, "power supply unit".
That voltage level, as a "float Charge" is tolerable over the expected duration of our caravanning trips, but not for winter storage, it is simply a little too high, just into the gassing threshold; trickle [float] charging, which it becomes, should sit at 13.6 volts to fall below long term gassing.
Some modern vans now feature controllers with a "Smart" charger and separated PSU functions, Schaudt being an example. As their name implies these are smart enough to know how to manage the charging. The better solar controllers again tend to be smart technology, designed not to abuse the battery in the long term.
These are both ideal and intended to be left on continuously; in my case with two vans both featuring these, they have been left so now for a total of 19 years. I achieved 11 years life from the Gel battery in the latest one.
Best read your van makers handbook or better still your battery controller's manual on its intended usage, as the answer to long term on an EHU is not a basic yes or no, it's largely dependent on the equipment fitted.
To an extent the battery technology, more basically if vented or VRLA "valve regulate lead acid" also comes into play as the latter can offer a degree of gas reabsorption, whereas the water is always slowly lost from a vented battery, sitting within the gassing off voltage. You can get away with more with a VRLA, though still it's not ideal to leave these charging in the gassing off range.