Partnerships don't really do much for you in terms of "allowing" you to post certain types of videos, many people go without partnerships and monetize gaming content because they know what they're doing.
In addition to the fact that most developers don't care about monetized gaming content because it supports their game, most gaming content falls under fair use as they're usually commentary, news reporting, criticism, parody, etc. If anything goes awry, you'll have to put on your legal pants and deal with it yourself, haha. In fact, I often times have to do it myself as my partnership won't do jack-diddle. Usually you'll get it sorted out in some way or another, but before anything it's always nice to just do your research and find their EULA, or contact the developers directly to avoid conflict in the first place. In terms of paid promotions, I'm sure it'll fall under the same boat. Assuming your content is more about you than the game, then it can usually be argued as fair use once again. If you're ever unsure, just shoot them an email, better safe than sorry!