That's happened to me once. Unfortunately it was while doing drums for somebody else! It's the worst feeling cause you ask yourself what in the world were you thinking of to mount the skin insided out...
The first time on an LP fiberglass tumba. l used a Bison Buffalo skin and very much to my surprise, the drum sounded incredible. So we left it like that and that drum is still one of my favorite tumbas in Miami.
The second time was on a LP fiberglass quinto. I used an El Greco mule that cost almost $90 (with shipping etc.). You can imagine my face when I realized I had put it upside down!!! Tremenda cagada!! So I sanded down the rough part as much as I could and yet the sound sucked. It was ringy as all hell and the slaps weren't the sharpest. I know mule tends to need a beating before you get the true sound of the skin, but I was not happy with it after 2 weeks of trying it. The person came to pick it up, I didn't get a chance to replace it and so I charged him $60 for all the other work I did to the drum : replaced all 6 hooks & made a flesh hoop for him. The skin was on me! Given the opportunity again, I would simply replace the skin RIGHT AWAY unless it sounds good immediately like the tumba I mentioned.
One thing is to mess up on your own drum but it's a different deal when it's a friend's or client's drum...ever since then, I make sure I put it the right way.
"Initially they say it feels rougher, but they say it sounds better and the skin lasts longer. Makes sense, the denser epidermis part of the skin (hair side) is where most of the strength is, and this is protected from the wear and tear of playing by the softer flesh side of the skin that is the playing surface. Also, I would think the softer rougher flesh side would make a less slappy sound when you hit a tone than the harder shiny hair side."I'm not sure about that Jorge. It seems to me that a porous side like the inside of the skin is more vulnerable to things like dirt and weather and less likely to protect the skin. The smoother side works as a more impermeable layer that can really minimize that. Plus, the animal wore the skin with the smooth side on the exterior its whole life and that has to be for a reason. Even though it had hair on it before, that side of the skin is used to dealing with the oustide world and it's changes. That is why it's tougher and stronger.
I would think the clean slaps would be harder on a rough surface. The tones might be still be ok as I proved with the tumba....