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A slightly tongue-in-cheek answer: definitions are the hypotheses of theorems. If the hypothesis of a theorem is a disjunction, you can always split the theorem up into two theorems with separate hypotheses, and doing so will often clarify the statement and proof anyway. So it's natural that single definitions are not usually disjunctive.

(Dually, if the conclusion of a theorem is a conjunction, then you can split it up into two theorems with separate conclusions. But I think we don't as often give names to the conclusions of theorems, unless they happen to coincide with a definition we gave for some other reason elsewhere.)