How much do bench skills matter for a postdoc? If you're hiring a postdoc, how much do you care about the techniques they've used in the PhD?

I'm thinking ahead to the postdoc search (will probably start in earnest in summer/fall). My current field is a somewhat obscure area of human molecular genetics, lots of old-school techniques. I'm very interested in moving to a model organism that will provide quick output during the postdoc and let me transition to a career at a primarily undergraduate institution. I've also had very little opportunity for bioinformatics training, which I would like to learn. (I see lots of online ads for postdocs listing a slew of particular skills, but I've heard these are less common paths compared to personal networks so I'm wondering if they're representative.)
I'm not hiring a postdoc, but:  Bench skills/experience matter a lot.  PIs want to hire someone who can use the existing lab to produce data without training.

That said, it is difficult to anticipate what skills PIs will be looking for at the moment you need a job.