OK, old toothbrush and GT85 at the ready, I went to do battle with the pedals.
Soaking the brush, I screwed it in to the drive side crank, right through, and back out again. fetched pedal and spanner. Definitely easier, I slowly kept at it until it was all the way in. Excellent. Non-drive side: same process, but eventually, after about two-thirds of the thread, it went on easily. So, one tricky job that turned out to be not too tricky after all.
As that had taken far less time than anticipated, I decided to finish removeing the Shimano wheel decals. That took
much longer, and I still have to get the gunk off....