The answer is yes, a small leak can saturate a rug and completely ruin a floor. We had a small leak in a gray Quest pipe in the bath of a mobile home I owned. It was a vacation house and we had left for a couple of weeks, the water was supposed to be off but the main shutoff gate valve leaked a bit when it was closed. It completely soaked the carpet in the bedroom next door and ruined the entire floor of the bedroom and the entry hall next door. We were lucky it did not spread to the living room.
Note the Winterize configuration still lets fresh water from the inlet thru the system, it bypasses the water heater so you don't fill it with antifreeze.
Do you have the Gray Quest pipe in your coach? If so, it very likely sprung a leak around one of the fittings, Quest is notorious about doing that.
Our S&B also had Quest, we had a "Qualifying Leak" back when the class action settlement was still in force so was able to get a replumb. Fortunately it only ruined the ceiling the water heater was above, we caught it in time.
Good luck getting your disaster cleaned up, I remember how down it made me feel, seeing all the damage a tiny leak caused. It took months to get the mobile home fixed and we never felt the same about it, sold it a year later.
Stewart, Brenda and kids
2008 Newmar Canyon Star 3410