One last precision on what i have mentioned above.
Esophoria, exophoria , hyperphoria, are strabimus for which the fusion of both eyes can be done without compensation. So no double vision. The reserve of fusion are ok.
Otherwise it's a squint ( aesthetically visible ) and double vision can be solved , with prisms worn to compensate and make the fusion possible.
So as long as your reserve of fusion is sufficient to prevent from getting any diplopia or double vision that should be ok.
One last info, there are in the US and Canada pilots who got surgical operation for strabismus, who were assessed fit even though they don't have perfect depth perception.