The engine surged power because it thought there was a danger of stalling the turbine, and whatever mechanism was supposed to get rid of such potential excess thrust didn't work or wasn't implemented.
Lockheed Starfighter a well remembered in Germany.
Lockheed F-104 Starfighter: "A total of 116 pilots were lost in West German F-104 accidents, including 1 ground crew passenger and 8 USAF instructors" (Wikipedia)
https://en.wikipedia.org/wiki/Blown_flap
Some hated them; notably one of the Luftwaffe chiefs at the time.
Disadvantage of the small low drag wings is that the aircraft cannot sustain a tight turn, as the aircraft bleeds off too much energy. So in a dogfight versus say a delta wing (low wing loading) like Mig-21 the F-104 will run out of energy.
But this is the sort of fighter that will use superiority in numbers and stand off weapons to inflict a blow on the enemy. It's not an air superiority fighter, but more of a first wave interceptor to inflict hit and run damage.
Do you have an opinion about F-35 aircrafts?