To free the slides I soaked the bores in Ballistol, a WD-40-like penetrant, cleaner, and lube. Some gentle prying and the slides released, revealing this mess. I feared that the needles were corroded beyond saving, but with some patient cleaning all the slides and needles survived.
This entire carb set was affected — the throttle butterfly valves were stuck closed, jets clogged, enrichener (choke) pins stuck in their bores, even the tiny spring pins on the float valves were stuck. The ultrasonic cleaner helped here, but mostly hours of detailed hand cleaning. What would typically be a four-hour job turned into eight.
The photo below shows the same slide and needle ready for reassembly.