Thats damn unusual. There's no reason to post a video, smoke is smoke and once it smokes...weeell it's smoked. But before you go swapping motors you need to figure out why it smoked. It's pretty rare something only a couple years old that's rarely used dies on ya, but it does happen. The first thing I'd suggest is test the voltage at the motor leads while under load. See if you have a low incoming voltage issue. If you do then start chasing this up stream at each connection point and look for a bad connection.
There's only one down side to this test with the motor alreaady damaged, it could be drawing such a huge load now it'll cause a substantial voltage drop. So if you do find you're not maintaining good voltage to the motor and you don't find anything obvious upstream, go a head and replace the motor and test the new one before you real start using it. If you're experiencing the same voltage drop, then you didn't find the original problem. If there is a minimal voltage drop (less then 3-5%) then you'll be fine and I'd say your original motor was just junk from the get go.
Also you can't rule out the pump is failing and took the motor out. When it runs, do you hear any noises coming from the hydraulic pump? Check and see if you can turn the input shaft without substantial effort.
One last test to throw out there if you buy a new motor and you find your incoming voltage is within specification. While running the pump check the current draw under load. If you're drawing way more current than the nameplate rating, it could very well be the pump was the issue to begin with.
Btw, these aren't the only tests you can perform to isolate an issue, but they're the easiest with basic meters. If you have a buddy that has a megaohm meter and a low resistance meter there's a few more test that can be done to figure out what the issue is.
Good luck.