Sounds a little bizarre to me...
The rinser, depending on the brand, consists of a spraying head, either a "spinner" as in a Tornado branded unit, or a stationary unit with a hole pattern that yields a spread spray to cover the inside of the tank, a hose and an integral back-flow prevention device. Not a whole lot to go wrong. The hose shouldn't pop off - whether the supply hose (your garden hose) or the unit's supply hose (from the garden hose connection to the tank). I'm going to guess that it is the unit's hose popping off from the nipple at the tank or the back-flow prevention device, since the garden hose (shore supply hose) should be a threaded connection...it shouldn't "pop" off under any pressure condition.
If the unit's supply hose is popping off, then the hose clamp is missing or not tight enough. The water pressurizes as it goes through the tank rinser (much like putting your thumb over a garden hose outlet) in order to develop a spray with enough pressure to "rinse" your tank. If they forgot to put a hose clamp on that connection, then it will develop enough pressure to blow the hose off...you'll either need a clamp or tighten the existing one to prevent the hose from popping off.
They are pretty simple devices and hardly ever develop issues. The Tornado rinser is prone to blowing off the spinner head if you use water pressure over about 40 psi (the manual actually warns about that and I had a 40 psi water regulator that I used just for the Tornadoes that I put on my '08 210WBS), but, if the spinner head comes off it shouldn't have the effect you are describing. Even if the whole unit becomes clogged, provided the clamps are tight, your hose shouldn't be popping off, it might not be spraying water, but, no hose should pop off. My "guess" is a missing hose clamp...