More misadventures with the soldering iron - got some finer and fatter tips, was able to finish soldering the 2 sets of programming pins on the Gotek USB (the STM32F105 that we all know and love, and the STM32F103 that was used for the Mini-USB functionality)
Made the tactical mistake of taking off read protection on the F103 so I can backup the original firmware...which then...proceeded to wipe the content of the onboard flash. Whoops. That effectively killed the Gotek. I don’t think the original firmware is available for re-flashing anywhere.
As for using it to desolder the damned bulged cap on the t5720 board....nope. No dice. Had the fat wide tip contact the solder on the bottom, added a large ball of solder, used a liberal amount of desoldering braid, set the tip to an ungodly 372C/700F, nope - still doesn’t want to budge. If the Engineer SS-02 Solder sucker doesn’t work, well...that’s not going to do. Not sure if I want to spring for a vacuum desoldering gun, though.