Almost all apes will eat meat, actually. It's not a primary part of their diet, but it's regular enough that it's been observed pervasively. And they digest it just fine.
It's true that we're weird because we cook it, but the weirdness isn't that it fundamentally changed our diet[1], but because it changed our gut. Our intestines shrunk a lot when we became cooking scavengers, to the point where we actually can't productively eat the diets that our ape ancestors did anymore, including their raw meat consumption.
[1] Though it did change our diet: we went from mostly-plant gatherers to mostly-meat scavengers, which required (or maybe the causality went the other way) that we leave the forest for grasslands where dead animals were larger and easier to find.
Insects are meat, yes. Are prawns/crab/lobster "meat"? Ocean arthropods are much closer to insects than they are to vertebrates. Obviously the question was about digestive suitability, not culinary aesthetics. And apes eat bugs, and can digest them just fine.
It's true that we're weird because we cook it, but the weirdness isn't that it fundamentally changed our diet[1], but because it changed our gut. Our intestines shrunk a lot when we became cooking scavengers, to the point where we actually can't productively eat the diets that our ape ancestors did anymore, including their raw meat consumption.
[1] Though it did change our diet: we went from mostly-plant gatherers to mostly-meat scavengers, which required (or maybe the causality went the other way) that we leave the forest for grasslands where dead animals were larger and easier to find.