It's just as often that one optimizes for minima than for maxima (eg. latency or revenue). When there isn't a natural orden it's a coin flip (eg compounding latency and revenue in a single function). And anyways both are functionally equivalent by means of order invertion.
Personally, when speaking in abstract I stick to saying "local extremum" just to avoid this nagging question.
Personally, when speaking in abstract I stick to saying "local extremum" just to avoid this nagging question.