I think I would rather pet a rattlesnake than strip multiple coats of paint without methylene chloride. If they are shop made cabinets I think it would be worth the trouble to uninstall them and take them outdoors to remove the paint. A power washer is nearly critical when it comes to stripping paint. Regardless of the remover you use paint tends to come off one layer at a time.
In my experience Peel Away #1 removes significantly
more layers of latex and oil paint than methylene chloride. But it can also damage the substrate as it can eat through the glues, especially on veneers and plys. Methylene Chloride as you state doesn't penetrate very deeply, so it's one layer at a time. When there are dozens of layers ... well ... it is what it is (gah!). I'm shifting to methylene chloride because the Peel Away #1 was damaging the cabinet doors. I'll post some pics of that as well.
Before I started I ordered some test sizes of three other Peel Away stripping products, Peel Away #7, Smart Strip, and Smart Strip Pro but none of them were as effective as Peel Away #1.
Of course if any of these stripping products worked quickly, efficiently, and safely, it wouldn't be such unpleasant and demonic work.
The cabinets look like they were made on-site. Deinstalling them would only be an option if the goal was demolition. They wouldn't survive the operation. Again, it would have likely taken me a fraction of the time, expense, and energy to have demolished and rebuilt new cabinets, rather than stripping them.
There's no power washer here and it's all being done indoors. A solo effort and with limited resources (I don't own the place). I do think you've got the correct analogy regarding petting a rattlesnake!
Here's a pic of a section of the (intact) crown molding...