Isn't that how it should be ? I'm not in DK, but in LV traffic laws in such a situation they should ignore the blinker, the driver must wait and turn right only after everyone going straight e.g. those bicycles and also pedestrians crossing the road he's turning to; since the vehicle turning must yield to everyone else.
For some reason, we seem to have a lot of car/bike/ped conflicts.
E.g. this shot in google maps - https://www.google.lv/maps/@56.9578862,24.1189538,3a,75y,240... ; it's green for cars, but red for the bike lane on the right side.
And 26.6 "...Ved svingning til højre må den kørende ikke være til ulempe for cyklister og knallertkørere, der kører lige ud. ..." saying that vehicles turning right must yield to cyclists going straight?
Of course, bicyclists will just jump the curb, ride on the sidewalk or overtake on the left, because everyone wants to be in front.
Which is precisely why right-turning drivers should leave no gap between the car and the curb, to claim their space, as it were.
And yes, obviously you check your mirrors and do a good shoulder check, that goes without saying.
But you ALSO pull to the curb after checking mirrors+over your shoulder, to claim the lane while preparing for your turn. You pull in either in front of or behind the cyclists, because the dangerous situations happen when you're side by side.
If there's a bike lane, you obviously don't pull across that, this only applies for streets without bike lanes.
About your mitigation strategy: that would solve the problem but unfortunately the cyclist won't stop behind the car. The cyclist would turn left to overtake the stopped car. I don't like to do that because it puts me in the middle of the road or to the right of another car. It also requires some space to maneuver and a car could be arriving from behind me and close the gap.
Usually stopped cars don't hit cyclists (but watch out for doors). I look at the traffic light and refrain from overtaking the car (both on the left and on the right) if it's about to turn green.
That way, there will be no cyclists blocking the car from turning safely, and the driver will only have to yield to pedestrians in the crossing. To put it bluntly, it's because they're idiots.
As someone who regularly drives, bikes, walks and uses public transport in Copenhagen, it is blatantly obvious that people just don't know how to handle right turns involving both cars and bicycles correctly. Car drivers will leave space open on their right (between the car and the curb), instead of putting the car as close to the curb as possible (which is taught in driver's ed). Bicyclists will pile into this space, and when the light turns green, it becomes almost impossible for the driver to turn right, because of the bikes already there, as well as the additional bikes coming from behind, completely ignoring the right blinker on the car.
The mitigation of this problem is two-fold. Firstly, the drivers should not leave open space on their right, when turning right. Secondly, cyclists need to grow a sense of self-preservation and not dive into that space, even if it's open. Large vehicles need to have some distance from the curb in order to complete the turn, but that should not be seen as an invitation to cyclists.