Nice job on the kitchen----cabinets look great.

As to your hutch, well you "could" do just about anything you want. But I'd have to say "should" you do it? Even without the top, that bottom buffet piece is pretty formal looking---between the brasses, door panel shapes and the trim around the top two drawers, it a pretty formal looking piece. Most times I see distressed, worn antique look on old pine pieces that are fairly plan---leaning more towards Shaker.

To get any kind of paint/finish to stick, you're going to have to sand or strip off the varnish/poly first. Or check the application instructions for a glaze that would give you some contrast. I don't know if the "worn" look will work as well in this buffet as it would on say a re-production Windsor chair, since the chair has natural locations of wear.

Honestly, I'd give selling the set another try. I think you'd be happier building a TV stand as you would like it rather than trying to re-purpose this piece.