I'd rather not clutter up the main music chat forum since all the remaining stuff to do with this Alex really belongs under this subheading.
Before:

After:

In short, the 5th valve linkage has been converted to RH thumb, the main slide was trimmed to bring this horn up to around 10c sharp when pushed in as opposed to 10c flat, and the first valve slide has been trimmed as well.
Here's what's on the docket. (This is sort of more for me to keep track of what all's going on):
Short-term projects:
- Find a better gig bag (I do have the original hard case)
- Trim the fifth valve circuit to bring low 2-3-5 F better in tune
- Find a lyre screw (no naked boxes, @MiBrassFS!)
Long-term project:
- Convert the clocksprings and S-links to modern Alex paddles/Minibal linkages
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Today, I completed swapping out the rest of the ancient and dry rotted cork bumpers with black "Buna-N" rubber, which made a pretty significant difference. Also went ahead and did some oiling of bearings and rotor surfaces and things like that (which probably hadn't been done in a very long time!) and that helped a bit with the clockspring speed.