Thanks for the video wingpig. That all seemed pretty straight forward, don't worry, I'm not going to get into a huge debate again. I'll set out what I think in better detail than twitter will allow, and leave it at that. You can agree/disagree as you please.
That video confirmed pretty much what I expected the infrastructure would be like. Not knowing the area I thought the cycle path bit past the play park wasn't shared, so if going that way I thought that would have been a walk. So actually even better that you can get further into the retail park without having to walk than I originally thought.
If it were me alone - I would turn right at the pedestrian crossing, go up the little hill, turn first left and arrive at the little roundabout.
If I had children - I would go straight ahead at the pedestrian crossing, and at the end of the shared path, dismount and walk to the shop, it really isn't far.
That bump off the kerb is not great, I'll concede that, but... I'm not going to use it either way, because if I were comfortable letting my kids cycle on the road I'm turning right at the pedestrian crossing as above, it's a quiet road.
If I'm not comfortable letting my kids cycle on that, then I'm just not going to let them bump onto the road after only a short shortcut anyway. If I'm on that path I don't want my kids on the road, and they are staying on the path, full stop.
EDIT: "Not knowing the area" - By that I mean, never actually cycled into Sainsbury's. I have cycled on that road whatever it is from A90 to join NEPN, so I do have some knowledge of how quiet that road is.