why anyone would use them for things like remotes or wireless keyboards
Alkalines leak a lot and they seem to be worse these days than they used to. From personal experience, there is about 1:10 chance you’ll be scrubbing battery contacts after using Alkaline. And if you forget to remove the battery when the device goes into storage, there is about a 100% chance it will be a crusty mess once you look at the device again, it can take years, but it’s pretty much unavoidable.
NiMH don’t leak, or at least much less frequently with much less catastrophic results. Also with modern low-self-discharge ones (Eneloop, Ikea LADDA) they last years, so they are very usable in TV remotes and the like.
There are a couple of rare devices that really want 1.5V to function properly (e.g. WMR Controller), in those cases 1.5V LiPo batteries can make a good rechargable alternative, but they are substantially more expensive than plain NiMH.