Yes, it is still a gerund with the negative adverb in front of it.
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AvangiHis not doing his best has effected his performance level. (somewhat redundant)Hmm...
His coach ws frustrated at seeing his not playing his best.
AvangiI've got to retrain on the other one too. I instinctively think of "I saw (witnessed) him making a mistake," and "I saw (understood; viewed) his philandering as unconscionable" as two different senses. (But I suppose that with the case in hand, the coach is observing, rather than forming an opinion.)Yes,