Yeah, was trying to verify that. I know my 01 has ABS-II and 02's have I-ABS generally speaking but that doesn't preclude any 02's having ABS-II but it will take someone like Sailor to pull out the nitty gritty details of what VIN's and when the split was for the two systems.
If it is actually an ABS-II system, he may do better following the Clymer recommendations of pulling the rear caliprs, forcing the pistons all the way in and blocking them while bleeding. Just make sure you don't run the reservoir dry when pumping the brakes back up after reinstalling the caliper. The reservoir has about 4 or 5 full pumps in it before it sucks air. Not very large.
The OP (MillMoorPete) needs to check these details below as it is technically impossible to have a 2002 with the simpler ABS2 (also called ABSII) system. All 2002 and later in USA market have IABS with servos. In most other markets (CANADA, EUROPE, Australia...) the change over to IABS with servos was in 2001.
It is IMPORTANT to identify braking / ABS system when asking for help.
From SIMPLE to more complex, MAIN HINTS to WATCH are:
1) IF the front brake Calipers have BMW marking, then it is IABS with servos (earlier marked Brembo and have different look 1999-2001 mainly)
2) Top of IABS unit is FLAT and has a sticker with "FTE S2AB...." (FTE is the OEM supplier for these units). Ealier K1200LT/RS with simpler ABS2 look like attached photo. Note 2 bleeders on a rounded Top and a large black plastic section on side (this is where they hide the ABS unit relay).
3) Some will say to ask the OP to listen for electrical-motor/pump noise when you press front brake lever (ignition ON, engine NOT started). However this is questionable when not on site to listen for yourself... I do not really trust data that can be interpreted differently by different riders. Noise is subjective unless you can offer a Video on YouTube with good sound quality to compare.