My interpretation is that when you say "Only 17 pulli have ever been recovered, up to 54 km away (only 3 moved >20km)," you are referring to summer birds and when you say "Juv GSW in autumn have been recorded moving >150km, but this is already after post-juv dispersal." you are referring to autumn birds. Is that correct?
One more time: GSW leave their nest in June. For a few weeks they are dependent on their parents and follow them around. Not many get ringed by this point, and only 17 ringed by this stage (in May/June) have ever been recovered. The furthest went 54 km, but that doesn't mean much because it's only out of 17. In late June the juvs disperse, and we know from other species that this is probably the longest movement they make. We also know (or can strongly imply) that many stop and settle quickly (a few days/weeks), but others keep moving into July, August and beyond. Some of these might be from the Continent, and have a different irruptive behaviour. These birds already on the move are ringed in greater numbers, because more pass through a set point (eg a Bird Obs) than settled birds (which wont pass through, cos they're settled smewhere else). Some of these moving birds have been found >150 km away from where they were ringed. Even though these birds that keep moving may be in the minority, they are conversely more likely to be ringed and recaught, because ringing effort is concentrated in areas where woodpeckers pass through and are easier to catch (gardens, coasts) and not in areas where woodpeckers settle and are harder to catch (woods, farmland). You will also get more woodpeckers passing through a coastal headland than you will sat in a settled woodland territory, so stochastically the ringing recoveries will be biased towards these minority wandering birds, and away from the majority settled birds.
So, to recap, juvs disperse in June. Some (probably most) settle quickly in June/July, others keep moving beyond July. Some irruptive birds may pop over from the continent during this period and roam around a bit.
Forget about 'summer', forget about 'autumn'. Try thinking about it on a woodpecker's timetable.