Ziploc brand freezer bags, over storage bags are definitely more durable and designed to take on more heat too. If going to put near boiling water in it, definitely probably best to go with freezer style. I have a pot cozy for my pot. If I make dinner with plenty of light to clean up after, I won't even rehydrate in bag. I boil my water, then dump the food straight into the pot, cover, and put in cozy to rehydrate. This keeps the ziploc dry, basically allowing it to be reused with another meal, as opposed to having it be all wet and grimy and then go back in the trash when I get home. It also means a bit less weight to pack out, which is marginal for one meal, but could add up to be a bigger weight savings over a long multi-day trip. Cleaning up my pot really isn't all that much of a chore anyway. On the other hand, if I don't get to dinner until it's dark and I decide it really is more convenient that night to not have to rinse my pot out and all that, then I'll pour my hot water into the bag, and then seal the bag into the cozy, sparing me of any dish duty that night. If I do cook in my pot, I also make sure to store it a bit further out from my tent/campsite in case any curious critters decide any residual smell left over after rinsing real well is still strong enough to make it worth investigating, but to date, I've never encountered my pot being out of place the next morning in all the places I've done this.
Since I'm a smaller guy, I like breaking those MH meals up in half anyway because the portions at that point seem to be just about right for me. Side bonus is I also get more value out of them that way too. There's been a couple times where I ate a whole pouch, but it took a while for the last few bites to safely make it down and I was uncomfortably full afterwards. There have been other times where I'm still plenty hungry right after only preparing half a pouch at which point I'll usually have a candy bar or something else on hand for a dessert to top me off with and up the calorie intake. I'm a smaller guy though with a thin build, so I can see a larger than average person having to rely on the full 2.5 to 3 servings to ever be satisfied.