Lurching back to the original suggestion about a jig to use on thin stock...
Nowadays, like lots of others who have already replied, I like to cut dovetails the quiet way. But a while back (fifteen years or more) I bought a little 1/4" Bosch router and explored ways of using it.
I made a few little boxes like this, from 9mm ash, and did the dovetails using the router.
I made this very simple jig. I've looked back at a book I had at the time, and I think it was probably intended as a very economical copy of one of the Keller jigs. It's designed to be used with a hand held router, dovetail cutter, and a guide bush.
You clamp the workpieces vertically against the cross-bar, with a bit of sacrificial wood in between. The slots are long enough to hold four pieces at a time (the four sides of a box). With the cutter projection set to suit the thickness of the wood, follow the slots to cut out the tails on the ends of the boards. At the time I used this jig, I would have used a Workmate for the clamping but a proper vice would do if it was wide enough.
That produces a set of finished tails. Mark the pins from these as if making by hand. Saw the sides of the pins, inside the waste, by hand or by bandsaw.
Then clamp a pair of boards back to back so the narrow sides of the waste are together. You don't need a jig for this. A workmate is suitable as it provides extra horizontal surfaces which help make the base of the router stable. Using a small straight cutter, remove most of the waste. These cuts are made to full depth. You can go up near the sawcut, leaving a wisp of wood to cut off with a small knife. Or with practice, you can guide the cutter into the kerf but stay the right side of it, especially if your saw cuts are not made with an extra-fine dovetail saw but with something cheaper or the bandsaw. This sounds harder than it is but you soon get used to keeping the router cutter inside the waste.
The result should be some decently-fitting dovetails. I only ever made the one jig, but they are quick and easy, so you could make one to suit the scale of your boxes. You can of course vary the spacing, though you can't go much thinner than these because of the diameter of the router cutter.