"CAE" in Dubai is actually "Emirates CAE Flight Training" as it is a joint venture, thus the official name "ECFT" ... And, yes, I completely agree, if you swing a dead cat in the staff lounge, there is zero chance of hitting a G450/550 instructor who has ever seen a Gulfstream...
The good news these days is that they offer a low low price that includes travel in Emirates Business class. Downside for US expats is that you can't combine said free travel to training with a trip to see mom and the kiddies.
FR