I've owned and used both cameras quite a bit, and I liked both of them. Nowadays I have a Canon F1 and an Olympus OM4, they are the only 35mm SLR systems I like.
If I had to choose between the OM 10 and the AE1, I wouldn't take either, particularly when you can get an OM1 or OM2 for under $50. The OM 10 and AE1 were consumer cameras, meant to be used for holidays and special events. They were inexpensive to buy, because they were inexpensively built. The AE1 is better than the OM10, but I prefer OM lenses to FD lenses.
I have many Canon FD and Olympus 50mm lenses; 1.2, 1.4, and 1.8 (as well as macro) models. I find the OM 50/1.8 to be my favorite all-around lens, it gives me better results than any of the others. For fast lenses, the OM 50/1.2 is 1/3 smaller and lighter than it's FD counterpart, and I think it produces better OOF effects.
For low-cost lenses, the FD definitely holds the edge. The better OM lenses are becoming much sought after, and the prices reflect it. You can find a 20/2.8 FD lens for $200 if you try, but the OM equivalent will cost you at least twice as much.
However, this isn't enough to keep me shooting my Canon FD kit, which is on eBay right now. I prefer the OM for it's quality, small size, and ease-of-use.