As for the pictogram lanes: (your last point): This is one of the ways they indicate the afformentioned ‘fietssuggestiestroken’ - note my point 2) in previous post. It’s not quite the ‘shared lane’ where there’s a double ^ in the lane center, you’ll find this mostly at the right hand side of the lane.
As for the other 3 points: all three are cycle lanes, as I described in point 1) of my post before, though 2 is an example of poor placement I guess.
As for the tagging proposal:
Can’t say I see the added value at first glance. If the cycleway is part of the ‘main road bedding’, we tend to not explicitly map them seperately. We just map them ‘on their own’ if they are say… >2m away from where car traffic drives. If anything, rather then pointing out where cyclist can go, it’s more usefull (and less effort) to tag where they cannot go. (i.e. narrow one-way streets where they cannot go in opposite direction)