It's a turbine, so can't change the RPM! The measured temperature at the
injection point is at least 450C and up to 600C...

Temperature matters. For instance, the USAF and USN jet teams inject at the
aftmost plane of the exhaust nozzle. That's fine as long as the throttles are
at MIL or less, but if they go into burner, the smoke disappears.

BTW, the Thunderbirds use about one drum of smoke oil (1010) per jet per
half-hour performance.