The bear I brought back from Alberta a few years ago was some of the most tender, tasty game meat I've eaten (and no worms, lol). It does need to be cooked like pork, no rare or medium rare, as it is susceptible to trichinosis. As the guy from MT wildlife wasn't at the border crossing, and the Border Patrol guy had no clue, he and I fumbled through the paperwork in about 10 minutes and he sent me on my way without looking at anything in the coolers.
I did not notice the meat being greasy at all. But I remove all fat and tallow from everything I butcher. Also brought home 2, 5 gal buckets of fat that rendered down to about a 6 qts of grease; great for cooking or leather. Need to go back and shoot a couple more as we finished the last of the steaks a while ago.