The rifle in question is mine, just pulled it out of the safe to have a look as it's been parked for 2.5 months since the elk hunt when the picture was taken.
I see nothing bad happening on the metal or the wood, maybe it's too soon to tell but I think if there was an issue it would be rearing it's ugly face by now. I do put electrical tape on the muzzle, mostly to prevent snow and mud in the event of a fall.
The evening of the picture, I dried the gun and gave it a good wipe down with an oiled rag and some patches, then a few days later when I got home I pulled the stock off and cleaned and oiled everything quite thoroughly.
I used to worry a lot about getting them wet, but after several experiences now I'm yet to have an issue. One sporting clay shoot in particular I remember water running down the barrels of my O/U, I was pretty freaked out but everything turned out OK.
It may catch up with me someday, but so far so good. I think a big part of it is keeping it well oiled the other 99% of the time as well. I like to wipe everything down with an oily rag before it goes back in the safe.
ETA: With that being said, I wasn't trying to monopolize the thread in anyway, and am looking forward to hearing any opposing views or thoughts on the topic. I'm relatively new to all this and here to learn. Cheers.