Hmm...I don't think so, necessarily. Film is such a different medium than theatre. From a performer's point of view, the approach to acting is more different, the comedy is different, etc., plus if he gets sick of exhausting every single approach, it's more likely to happen after having to do take after take after take after take after take of the same 10 seconds of the number.
Seriously though, if his performance suffers, I don't think it'll be from doing the role so much. If anything, exploring every avenue should help his performance because he'll know what works and what doesn't.
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