TDI's standards for Technical DM are here.
The pertinent parts:
The only agency specific part I see is certification as a DM, which would make sense. My read is you could be certified as a full trimix diver from any agency/instructor that you choose.
The pertinent parts:
3.5 Student Prerequisites
1.Minimum age 18
2.Certified as an SDI Divemaster (equivalent ratings from other agencies are not accepted for this TDI Divemaster prerequisite)
3.Provide copies of current CPR and first aid training
4.Have a current medical examination
5.Provide proof of 50 logged dives
6.Certified as technical diver for which they are applying as a divemaster in.
The only agency specific part I see is certification as a DM, which would make sense. My read is you could be certified as a full trimix diver from any agency/instructor that you choose.