Was this scene really necessary?

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why is she even wearing a bikini in the bath?

To give her a slightly more believable place to pull things out of, or because they couldn't come up with a reasonable way to censor her when she's standing there while fully naked. I would say fully naked and even without features like nipples would have been better if more of the proper shading was present.

I would believe that kuroko could pull an entire sybian out of her gooch in an instant

it was necessary, believe me

To pull it out from there would also show more than they are willing to do

Wasn't that in the OVA?

Me on the left.

Isn't she a teleporter? Why would she need a place to pull things out of?

I would be lost without it.