I pleased to say that I've got my Veek back!
The garage managed to get it done quicker than I expected, so picked it up this afternoon and it's now safely home.
They had to re-positioned the throttle bodies as the way somebody had put it back together beforehand prevented proper brake operation. Once sorted, they managed to get it all bled. As they had dealt with this issue before, they managed to get it done quickly. That, with sorting my centre stand out with tapping in a heli-coil and new bolt it wasn't too expensive overall. £86 lighter, but worth it to get it sorted.
I asked about what the correct procedure is for doing this, and they just recommended leaving it alone if it's got ABS on it and get it done properly. He acknowledged it sounds like "just spend the money with us", but just felt very strongly on getting a workshop done on any bike (especially with Suzuki's) that have ABS.
So, next is to get a taller screen on it. Although it has a MRA screen on it with a flip up wing on it already, the buffeting down the short blast of the Motorway was quite annoying so need something a smidge taller I feel.
Pete