Yes, one Olog-hai is an Olog.
One thing to note though is that it was only later in the Third Age that Uruk, began to apply more specifically to the 'great soldier-orcs'. By implication it applied to all Orcs generally before that time.The usurpation by the greater orcs would seem to be a way to deny the 'humanity' of the lesser orcs.
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Tar-Elenion
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