Lamella-deep winter tyres

Hello, last winter I drove my Pirelli Snowsport 210 up to 4mm. The tires were top! But at 4mm there were sometimes no lamellas to be seen and the driving behaviour was very bad on all surfaces. Is it clear that one should replace winter tires with 4mm, but how is actually the lamella depth at other manufacturers? Would like to buy me again Pirelli (Sottozero) or Michelin (Pa3) size 205/55.