Given the case of Souter, we certainly DO need to ask.
The "Souter" problem, stripped to its essence, is that Souter is GAY. Gay people living in the closet ( a la Souter as a 'confirmed bachelor") have secret lives, secret beliefs. In the context of giving someone a job-for-life of ultimate power, the chance thet someone's closeted views will become their public views, a la Souter, represent a risk that we shouldn't be asked to take again.
Show me proof.
I have absolutely no problem with a gay man or lesbian sitting on the Supreme Court-provided that they meet other criteria-but I certainly do have objections-very strong ones, in fact-to nominating an individual who could possibly be exposed to a public "outing," or subjected to black mail in order to prevent one.
Don't know if Souter is gay, but apparently not all "confirmed bachelors" are. Brian Lamb of C-SPAN just got married for the first time about 2 weeks ago. He is 64.
Oh, and there are plenty of married people who are gay.
So, that broad brush doesn't paint in either direction, imo.