Winter tires low profile difference – what would you advise?

Hello, on my front-driven car (Volvo V70 II) the front WR with 5mm profile were disposed of because of a tire damage. So I mounted the new WR, as it is written in the textbook, and the former rear to the front. So I am currently at the front 6.5mm and rear new. All Conti WinterContact 205/55/R16. Now I had yesterday in a snow drift (~20 cm) and on a not cleared climb quite to “feel”. the VR sank at some point, couldn’t climb the snow wedge any more and went crazy. Now my question: Would it make sense to take the new ones forward? Would 1.5 mm make that much difference? Or was I just already in areas where one would have needed chain? And if I were to do so: Would the track guide at the rear with 1.5 mm less be so much worse that it would be a risk on the AB? What also occurred to me: If I had the new Take it forward, then the sentence would be better worn out overall than if I drove down the worse ones in the front… As I said, we’re not talking about 3mm / 8mm, the thing would be clear anyway, but of 6.5mm / 8mm. I know, crystal ball, but how is your assessment? Am, as far as this is concerned, still without experience values… mfg, pgs