Yeah, it's pretty, no? I thought of bidding, too, but have spent more than my glass allowance lately.
"The liner was there simply to protect the vase — whatever you used it for, and if you were careful, you only needed to wash the liner."
I'm afraid I don't quite understand this. How would it be used as a part of a vase, and wouldn't the whole thing need to be washed no matter what was stored in it? The "liner" (not a good word for it, couldn't think of a better one - "inner lid" perhaps) is only a little cup at the top.
A friend emailed me that she'd seen metal tea canisters with liners similar to this, simply acting as an additional seal, as Frank proposed. I suppose the shape of it would allow a bit of tea to be stored in the top part for the short term, where it was easily accessible without having to open the jar fully and allow a lot of air in.