Blitzkrieg i.e. ME said:
In your situation, it might make sense given the status of the game and it sounds like you're in the mid to late game
I totally agree that using one in the later game for a golden age makes sense.
Blitz I still don't follow your line of thinking. Additionally why is settling a gold producing GP in a bueruacracy capital "awesome"? Settling a GP in Wallstreet is great, just as settling a GE in Oxford is great, just as settling either in IW is great.
It's a matter of being able to get many more GrProph in the early game when gold and hammers are more rare to come by. Again, it is likely that you can produce 2-3 prophets in the same time that it would take (in an average game) to produce a GE with a forge engineer. Since my bureau capital will generally get a market and a bank, settling 2-3 prophets there turns into 17-26

per turn possibly allowing a slider bump. And then, add in the 50% boost to hammers in bureau capital making 4-6

become 6-9

per turn. No loss to rounding either. Settled engineer 3

becomes 4

due to rounding (iirc). 3

is nice, but not very versatile. With

you can use slider for EP/culture/or science.
Whereas that 1 settled GE will generate 4.5 (rounded down to 4)

and 6

per turn (if in oxford/academy) which only can be used for science. Powerful, but not versatile.
Mostly, though, it's due to the fact that you can generate lots of GrProph with a little effort. But you must wait until factories to gain access to multiple Eng specialists.
Also, understand that I'm
not playing immortal/deity