That's a none issue here, considering how Hinata is not actually capable of performing Kaiten.
Bolded: Edo Tensei would like to have a word with you.

Edo tensei has many counters remember?
The direct counters to deal with it:
1. Steal the soul of the reanimated, risky though due to a lack of these techniques and the fact that they are forbidden.
2. Get the user to release it, basically genjutsu manipulation but this is what Itachi did.
3. Giving the reanimated a sense of clousre, this is the second most effective but cannot work if the personality is overwritten.
Then there are the nullifying counters, if the above cannot be done this are able to work:
1. Sealing, immoblizing them is the best way to deal with them in the long run, they can only be sealed if they are stunned, weaknend mainly during regeneration, etc.
2. Weaknesses in life, any weaknesses the users carried in life are dependent on them but also carry into the reanimation. Hanzo had his salemander weakness and became immobile because of it.
3. The reanimated can give away their weaknesses and how to defeat them, some can even resist control but not for long.
Then there are the risks:
1. A strong enough genjutsu to break the remote control from the user, either another person or an edo themselves left with their personality could use a genjutsu to trick the user and let them go. The user can counter this if they can catch and attach a control tailisman again.
2. The real risk, the user knows the sealing formula which bounds them to the user. Madara knew the sealing formula which kept him earthbound and undid it so now he is basically uber powered. There is a difference between the seals that grant the user remote controls and the one that binds them to the user for being earthbound.
Even then Madara still has one way to be taken down for now which is obviously sealing. Only way the characters will get around this is if he is Rinne-tensied or the ten tails becomes the bigger problem.