What if, wounded by the Morgul blade, Frodo had fade before reaching Rivendell?

Hello to all. Hereafter is my guess of what would have happened if Frodo had fade from the Morgul wound. In parenthesis are the multiple interrogations to which I hoped you could help me with. If you see something wrong in my hypothesis, please inform me of it.

By going into the Wraith-world (The fading was occurring gradually but would the passage from our world to the Wraith one be as slow?), Frodo’s body would have become transparent (Would the shard of the Morgul blade be then visible, seeing that it can not fade, except if sunlight or fire melts it? In a more comical way, could we see it float in the air where Frodo is standing?) Like the Nazgul (Would he become one of them or only a servant?), one could only see he’s there if he wears cloths or accessories from our world. (What would be his first reflex as a wraith? Put the Ring on? Take it to Sauron, even though he hasn’t received the order to? Wait for the Ring-wraiths to find him?) (Would the real Frodo, the good one, be gone forever or would he be trapped in this evilness and only able to watch?) One way or another, he would arrive to Mordor. There, Sauron would take the Ring (Would Frodo still be addicted to the Ring? If his master’s order was to give it back and he couldn’t disobey, would the separation be painful?) and take over Middle-Earth. (At this point, what would happen to Frodo? Depending on if he was the tenth Ring-wraith or only a servant, would he serve Sauron? Would the Dark Lord torture Frodo’s soul, if it still existed, for keeping the Ring away from him?) (In the Wraith-world, everything would be like when he put the Ring on, but permanently. How would Sauron look like? The High Elves would be light, the Nazgul would be the pale kings and the other people (Men, Hobbits and all) would be dark shapes, but what about the Dark Lord?) (If the fading wasn’t too deep, would it be possible, to a certain level, to bring him back by removing the shard of the Morgul blade (who would be in his heart at that time) and corrupting him to good?)

I hope you will be able to answer me, at least partially. Thank you.
Vilya