No, that makes sense...

Except that Itachi had Blaze Release. Blaze Release is the elemental nature of Amaterasu.

Sasuke is able to use Blaze Release techniques becuase one eye has Amaterasu and the other has a technique that lets him change the shape and intensity of literally any fire including Blaze Release.

So technically, Sasuke is less using Blaze Release Ninjutsu and more he's a Firebender who uses one specific Blaze Release technique to create fire for himself and calls bending it a separate Jutsu.

That does mean that Senko will probably just graft the chakra of another Mangekyo user or like, clone her eyes or something instead of going to the effort of finding another pair of eyes to transplant.

Unless your plans include Kimiko getting Mangekyo, which you've alluded to, in which case Senko finding out about the "swapping eyes fixes the blindness and removes the eye strain" thing would be to suggest transplanting each other's eyes into the other's head. (in which case, we should talk about eye designs ahead of time so we've got things that can fit together.)