I’m surprized you did not have problems with the overall size a 06 are a lot smaller than 09 and don’t fit the same holders in perspective of thickness
06 size inserts tend to be 02 in the code (2.38mm) while the larger 09 size tend to be T3 in the code 3.97mm
You could go with CNMG 09 03** if you need that thickness for a clamp type holder as the neutral ones are more common in that thickness