We just finished a bedroom suite. The basic cabinetry was built out of virola plywood with Tennessee aromatic cedar liners. The floors and ceiling were made of laminated cedar planks and the sides and walls were 3/8 thick tongue and groove paneling. This was the kind of paneling you buy boxed up in 15 sf bundles from Home Depot. (The paneling had a sugary looking residue on spots, kind of like slug slime. The solid lumber did not manifest any of this shininess.)
Cabinet doors were built with poplar lumber frames with inset panels made of 1/4 inch maple faced MDF. The poplar lumber was blanked out in advance and air dry acclimated for a couple of weeks before we built the doors. After the doors were fitted, we put benite sealer on everything. The face frames were wiped lightly with a rag and the doors were coated a little heavier with a brush. So far so good. I think we followed solid wood-ology precepts.
And then the bad stuff happened. The painter stopped by with some doors today that were perfectly dry on the front face but completely gummy (like scotch tape in the sun) on the back sides. These cabinets have been installed in the house for about 5 weeks.
During roughly the same time period, we built a project with similar specifications that has not manifested this gumminess. The difference between the jobs is that one had aromatic cedar and one had pre-finished maple plywood boxes. On both jobs, we let the benite dry to the touch, then stored the doors hanging on the cabinet. On both jobs, there were doors that probably did not see much daylight before the benite completely dried.
When I learned of this today I checked with the painters on the second (non-aromatic) job and there were no extraordinary issues. The movie in my head recalls an article once about how you should not mix construction adhesive with cedar in saunas because of a chain reaction off-gassing with this combo. Could the aromatic cedar be off-gassing in a way that causes this gumminess? Any ideas?
I think people encounter this a lot with cedar lined chests. The aromatic cedar emits a gas that softens some finishes. You'll have to ask someone smarter than me to find out which ones, though. I seem to recall that shellac can be effective. But don't take my work for it. I've seen it keep Danish oil from curing in one chest and it gummed up a set of dishes in another. I always put a disclaimer in my chests warning them of the potential disaster awaiting them should they store things other than fabrics in the chest.
The first idea that pops in my head is provide some ventilation in those cabinets somehow. My father made a cedar closet 20 years ago with the same cedar planks I used. He also lacquered the door to that closet. But, there was a 1" gap on the bottom and about 1/2" on the top. There was no gumming problem. I don't know if that will solve your problem, just giving my experiences.
First suggestion: disguise a vent system for the cedar, and don't finish it at all. Once the oils oxidize, the cell membranes harden off and will self-seal the wood. Second suggestion: clean the wood with acetone to take the oil and sap off the top layer of cells (the slime you were referring to is actually sap which has crystallized from exposure to air). Then seal with shellac. I do not finish my cedar and advise the customers to allow the furniture to breath for a period of time.
Another point to keep in mind is two out of ten have an allergy to ERC. In some cases, it can be severe. Ask your customers if they have an allergy to cedar.