Residential fridges are become norm in larger Class A's.
As far as a Gas/electric RV fridge, it is normal to be able to run on both, easier to travel with a propane one, and yes you can drive with them operating.
Some suggest turning off when fueling (if the back of fridge vent is near your gas tank).
I have owned two RV's, last 4 years, with propane fridges and have not had any issues. You do need not have the propane fridge run for long periods (out of level), can shorten the life of the fridge, because of how the gas circulates or something technical.
Propane fridges take a little longer to initially cool, down, but once cool down do well. We have down couple week trips with fridge on propane and it does not use that much, did not empty tank or get close.
So if you plan to boon-dock (camp without hookups) or be on the move a lot, the propane fridge is a plus. vs. residential that needs either generator or plugged in to run off electric.
Majority of RV's have the propane/electric fridges, no worries.