It looks very similar to something that would hold telescope eyepieces. Telescope eyepieces commonly come in three barrel sizes, .965 inch, 1.25 inch and 2 inch. Your round holes are much too big, but that was all I could come up with. :)
You think this was a specialized cabinet? It even crossed my mind that it might be a sewing cabinet.
Doesn't make sense for a liquor cabinet, unless it was for show only. The top would close onto the tops of the bottles.
..I can't figure this thing out.