I've been playing with my portasol and an old GFX card tonight. It seems that hot air reflow is the way to go with this iron.
I managed to cleanly de- and re-solder several of these resistor networks on a board that is denser than the display panel. Two of these networks are literally within their own width's distance of a plastic connector, and the connector came away virtually unscathed after 4 passes of the iron. I don't have any qualms about taking this method to my display board. If there'd been a 561 network on the GFX card I'd have snarfed it and done it today, but I wasn't so lucky.

My only question is whether the solder already on the pads is going to be enough to reflow, or whether I'm going to have to stick some paste on..., oh and trying to decide whether to get blue or red buttons.

Does anyone know how well the red buttons match to 98-02 VW intrument panel's red?