IN addition many RVs they suggest (if they do not just install) a Water Pressure Regulator,, And you may have a water filter as well, in your inlet line.
here is what I find.
Direct hook up, no filter, no regulator, Full pressure all the time, however I've seen leakage from the pressure/temperture relief valve on my water heater (In short, "City" water was too high pressure)
Put a regulator in the line... and if it's working properly you should still have full pressure, but without the "However" above. I very strongly suggest you do this
Put a water filter in the line (and again, I suggest you do this) and the flow will be restricted. As you have noticed
in fact you described EXACTLY what I observe with a filter in the line.
So, what do you do:
Well... Putting the filter AHEAD of the regulator may inprove water flow, the risk here is if the city/park water pressure goes too high it can blow up your filter (Not dramatic, just causes a crack in the outer housing in most cases, not dangerous but of course you now need a new, EXPENSVIE filter)
Using a bigger filter will also help, or perhaps a different type of filter (though there is a trade off here)
The solution I use is to use the stored water, refilling before I leave camp or when the level in the tank gets down a bit, from park water, filtered.
Also, some brands of Filters (I have a CAMCO I think it's a CRX-90) can be cleaned to improve flow rate
This filter is supposed to pass 3 gallons per minute,,, I was down to about one before I cleaned it Cleaned it per instructions and it came right back up to speed.
So, check any and all filters, including inlet screens, check the hose for kinks and such, and hopefully it will clear up
NOTE: most parks I've been my recording pressure guage never goes over 60 psi (40 is normal) howeve in at least one park I have seen pressure go from 10 to almost 100 PSI, this kind of pressure will pop connectors and lines and such in your motor home.. So Please use a regulator