No, no he didn't.
This has been disproven countless times. Especially the argument for him using it on Danzo, which was based solely on taking the phrase "it's a far cry from Itachi's Tsukuyomi" completely out of context.
It's not as simple as that.
KA, yes, that's possible to just label it as being in the eye. However, one could argue that the reason why Itachi was able to use/manipulate KA the way he did was due to his proficiency with Genjutsu. Perhaps if Shisui gave his eye to Fugaku, he wouldn't have been able to implant/use it in the same way Itachi did. So right away, that points to some degree of mastert/control/proficiency needed to use the said MS technique, otherwise an Uchiha could just plop an eye in themselves and instantly use the ability to its fullest.
Kakashi is a bit of a different story. See, he actually had a 3T implanted in him, and only later was the MS awakened. That simulates the exact same conditions as an Uchiha awakening the MS, so it can't really be used as a basis to discern whether the technique itself is completely and fully stored/usuable in the eye.
Byakugan is completely different. The telescope/X-ray vision aren't actual jutsu (if I recall correctly), and are rather the mechanics of the eye itself, just like how Sharingan has precog, etc.
So, going off that, there really is great uncertainty on doujutsu being completely within the eye. Yes, they make use of the eye and are cast through it, but it's likely they aren't "completely" there. After all, how could Madara use dojutsu while he didn't have eyes at all?