I regularly repurpose/resolder my valve bases but rarely rewire adapters (although i've also build a few just for use on my tester).
But! Manufacturers (especially Philips/Valvo/TFK) did this all the time, along with relabeling tubes as fit their needs (could be the exact situation with some 6N5S/6N13S
). From personal experience, if you are chasing a fancy tube, it's worth to look at the same internal construction on another base. Especially on rectifiers. AZ4/RGN2004/4004 for example, are pretty expensive. Just buy them with a broken P base (those things are a weak link) and put a new B4/5 (or UX4 for US) base on it. Got a few of those yesterday, just for this type of surgery.
Going back on topic.
So on the adapter you showed. The wiring inside is just good insulated point to point inside from my experience.
There's no glue to be seen in the one on your photo, and that makes it a good one to work on. You can reveal the wiring by loosening the bottom screw, that keeps hold of the top part. (Oh, you can't find the screws on yours? It's below the sticker in the middle
).
The one downside to this kind of adapter is the "long" wires inside. When some wires crossover very closely, this could introduce noise (in theory at least, as i never had issues with this).
The other adapters one can work on themselves are the dual to single tube adapters. Like the 6J5, 76 to 12au7/ecc88. These use a PCB that is very very versatile. You can rewire it from 6 to 12V amps by making a few marked connections on the PCB. Or rewire the top part by switching the PCB tube sockets from 6J5 to 76 par example. Or rewire the bottom from 12AU7 to E88CC yourself by just unscrewing that part and rearrange them. These also come with all the holes and solder points for the cap connections. So if you have a 6J5 adapter like this, it's easy just to put in the top cap connections on the right places with a wire of choice, and voila, your own CV6/7193 to 12au7 adapter.
Small note on buying adapters. Compared to "china" adapters, it's worth looking into Deyan adapters on Head-fi. Friendly guy. Just got 6 adapters in the mail from him last week. Really good quality, well build stuff. (All adapters to B4 base, made to order, as nobody makes adapters for them (who uses B4 tubes anyway?!
) ).
Edit: IMPORTANT! I go completely bonkers on insulating wiring inside my own bases/adapters to prevent shorts. Can't stress this enough, be safe.