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It would be the outer-space equivalent of those stubborn elderly hospital patients who insist on smoking cigarettes while wearing oxygen tanks. NASA tolerates low-pressure pure-oxygen pressurization in their soft space suits because they have no choice.
Skintight suits have the advantage of being about as encumbering as a wearing leotards, they are quick to put on, and puncturing them just gives you a space-hickey instead of certain death.
Soft suits also take forever to put on, they fight your every movement (making EVA work very fatiguing), and if you tear the suit skin you will die horribly in about 90 seconds.
When I say "fight your every movement" I mean "raise the energy expenditure to do a task by about 400%".
Most space suits are Full (Body) Pressure-suits: they offer pressurization of the entire body in space for extended periods.
Partial (Body) Pressure-suits only pressurize certain parts of the body for a limited time.