Technically that dealer is very wrong but as a practical matter it's probably ok. The specs for "level" have not changed in at least a dozen years - check any current owner manual. Norcold says within 3 degrees front to back and 6 degrees side to side. I believe Dometic is the same, but I haven't looked recently. The RV has to be way off-level to exceed that spec, so in practice you are probably ok if it is comfortable to walk around inside. But if you left the fridge on while the rv is parked at a fairly steep angle, maybe in a restaurant or store parking lot, you could be doing internal damage.
The fridge won't fail immediately just because it runs while far off-level for a half-hour, but damage builds up over time and eventually leads to an early demise. It may be two years later when it finally gives up and you say "what the heck happened?", never remembering the previous abuse.