Toki Toki no Mi

If the toki toki normally allows a user to travel forward in time would an awakening allow them to travel freely back and forth and if yes can there be two toki users in the same time?

So far we haven't seen a lot of details about the time devil fruit but holy shit does it have the powers to break the world.

Sending people ahead in time is okay and all but what happens if a devil fruit user is sent ahead in time, like a century or whatever, will their devil fruit be missing for the entire century then? Will it respawn? I don't know if it can send someone back in time but what if you send a devil fruit user to the past, when someone else was the user of the devil fruit? Will two fruits exist at the same time? If the time traveller dies, will their devil fruit spawn in the future or in the past? If it respawns in the time they were originally from, is it possible that if kinemon dies now, the fruit will go back 20 years in time and there will be 2 users in the current timeline? So many questions.

I think maybe the fruit only allows you to go ahead in time, and the fruit will only reappear in the future the user dies in, being completely gone during the time between the time leap. Maybe this was the method used to steal the gomu gomu no mi from the world government? Cuz obv the wouldn't just walk around the world with a fruit as important as that.