The take-off and landing problems could, but that still leaves you with rest of the problems.
In fact, there's been a least a handful of designs which incorporated float-planes, most famously the
Japanese I-400 and the French
Surcouf
However the thing they all have in common is that the aircraft were intended for scouting.
The I-400 carried four fairly high-performance float-planes. You're going to need quite a few more, especially because you have to make up for the lower performance inherent in float-planes compared to land and carrier based aircraft.
Submarine carriers also faces a serious and very real problem. Finding them again. Air ops pretty much has to be done during the night since it'll take forever to get them ready to dive. That means the pilot will have to find a small black boat in the middle of the ocean. Radio navigation and deck ligth is not an option since that'll bring the enemy along like bears after honey. If the enemy isn't in a position to catch you, then you don't need a sub carrier since the only justification for a sub carrier is in order to avoid enemy air and naval superiority. If he doesn't have that then you'll be better of building a conventional carrier.
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