I don't think so. As I understand it, Othinus' ability as a majin was to have a 50/50 chance of accomplishing whatever she set out to accomplish. With Touma's luck as bad as it was, the suppressing of the Invisible Thing was heavily skewed to Othinus' side.
Besides I doubt something as having his whole right arm cut off when compared to crushing to sever the right hand would make that much of a difference as Imagine Breaker still resides in his right hand - end result is still the same in either case.
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不幸だ...
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