To get what you are getting, there has to be a fault to ground in the RV, whether or not there is a good ground in the pedestal and a good ground all the way from power distribution to the pedestal.
There are too many points of failure for ground connections and faults to simply say whether or not the pedestal is the problem. Without a fault to ground in the RV, should should feel no current from the chassis. With a good ground all the way back the through the pedestal, you should pop a breaker as soon as connected: the circuit in question, the 30 amp main, or the pedestal breaker.
I had a fault of hot to ground that I didn't catch for some time because I was not getting a good ground. The problem with the ground connection turned out to be a disconnected wire in the junction box where my cord came in; those connections need to be checked regularly, the cord gets handled roughly. On fixing the ground, the main breaker would pop if I connected to a well grounded outlet, but not at a poorly grounded one; the genset circuitry would also note the fault and shut down immediately.
Working circuit by circuit, I tracked down the fault to wiring on the back of the GFCI outlet that protected the circuit of the bathroom and bedroom outlets. GFCI never tripped, fault was either on the wrong side of that, or the breaker always tripped first.