Sure, most pp software provides lens correction, but not on off-brand combinations.. so you will not get the proper corrections on something like the 14-24mm when used on the Sony body as you would on a Nikon body, and the same goes for the 17mm or 24mm TS on the Sony body, but the Canon's would need less correction to begin with.
I don't think you're right about off-brand combinations. In LR, I can use a profile for any lens I attach to my Sony A7r & a6000 (provided they have one for that lens in the first place, of course); with my Canon lenses, the corrections seem to work exactly the same way regardless of whether they're on my Sony or Canon bodies. The only difference is that with off-brand lenses you have to take an additional step and manually select the lens - you can't just check a box and have the corrections applied automatically.
As for Nikon, do their dslr in-camera corrections apply to RAW files as well to jpegs? That seems to be the case with m43 cameras (at least when using LR), but is it true of Nikon dslrs too?