Why are gas turbines already opeating at max temp limits?Why would the increased air temp result in mandatory decrease in fuel flow?Why would it be ideal to burn more fuel ?
Temperatures are now limited by the ability of the turbine blades to maintain their integrity while spinning at high speeds. They must not elongate too much so they do not destroy themselves and the engine case.
To maintain the same exhaust temp (at the turbine blades) with an increased compression ratio, the amount of fuel burned will have to be decreased.
Once the design of a jet engine is established, thrust is proportional to fuel flow. Burn more fuel ==> get more thrust.