If Minato could do it to 100% kurama Lord knows how many miles away, then nothing can stop him doing it to Bee. Speaking of which, you said Minato has no panel feats of crossing any great distances, yet her blitzes kurama right here:
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Or the distance Minato covered instantly from saving Kushina from hein crushed. Look how far he got from Kurama's claw:
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This illustration here proves Minato can shunshin the length of 10 Bijuu in a row (which makes the Bijuu marking feat look redundant now), as he showed when he stopped Kakashi from killing Obito. Notice Obito's position and minatos position):
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I haven't even mentioned how space time barrier makes the twister useless yet. So many ways Minato deals with that non factor of a jutsu.