Saw tooth formation rear tyres

Hello, on my X-Perience I ride the Nokian WR D3 in 225/45 17 as a winter tire and was very satisfied with the tire so far. The wear on the front and rear axle is almost identical. After the rear tyres were mounted in front last autumn, however, there were strong vibrations at higher speeds (140 – 170 km/h) which increased during braking. Then I mounted the tires again at the original position and the problem was fixed at first. At the tyre dealer, the rear tires were then checked and reworked. Tires and rims had no height impact, an additional 10 g weight had to be glued to a tyre. However, according to the tyre dealer, this could not have been the cause of the vibrations. However, I was pointed to starting saw tooth formation. Unfortunately, saw tooth formation and noises are increasing. Now I have the Idea to change the rear tyres between right and left in order not to reinforce the problem even further. The Nokian WR D3 is bound to run directionally, is this nevertheless possible without hesitation or will I then get problems with wetness? The tyres have a 5 mm profile and should last just under 3 months. Next winter there will be fresh winter tyres, which will certainly not be tied to run directionally. I am grateful for helpful tips and suggestions. Greeting Oxebo