I mean, it's kinda just conventional wisdom, right? You sometimes worry about pitching a guy three out of four games. I'd definitely worry about an old closer warming up twice and pitching twice, especially on a nasty, cool night.
Jansen hasn't been stellar as of late, factor in the weather and his age and it might not have been the wisest choice. Sure hindsight, but you may have lost him for the next two games now.