This. Think it's the same case on the 1675 that they list from BP, and wasn't sure if this and the 16710 shared the same caseback or not. Was curious if the Raffles caseback would fit it. It does, but the thickness is the same.
https://www.intime05.co/rollie/3660-gmt-master-16750-ss-bp-best-black-bezel-white-markers.html
Ah yes. That's really a 1675, Ryan (and maybe BP) got the model number wrong. The caseback on your rep is not like the one on the BP 16710.
Key differences that identify this as a 1675:
Caseback is polished smooth - 16750 has a brushed center section like the 16710
Bracelet is rivet - 16570 has brushed oyster link edges like the 16710
Clasp is Big Crown with polished edges - 16750 has small crown, entirely brushed clasp
Hand stack is GMT on bottom (so your 1675 is actually CHS) - 16750 has hour hand on the bottom like all 5 digit GMTs
The 16750 was produced from 1981 - 1988. In 1986 the dial was updated to have raised hour markers with white gold surrounds like the 16710, so the 16750 is the only GMT model that was made with both types of dials. The updated dial also added the word "DATE" to OYSTER PERPETUAL on the dial.
The 16750 was replaced with a lower model number (unusual), the 16700 that ran until 1999. It has an upgraded movement, the 3175 from 3075, and introduced a sapphire crystal.
Both the 16750 and the 16700 had fixed (non-independent) GMT hands and were GMT Master (I) not GMT Master II's.
Yours could pass as an early 16750 with a bracelet/clasp swap and the Raffles caseback but then it would be ICHS!