I mean, I don't think it's particularly difficult to draw a comparison between Ninja Gaiden and say Motorstorm in terms of how AI affects the encounter. Like say one fight in Ninja Gaiden (ie- you enter a room and kill enemies until they stop coming) is equivalent to a race in Motorstorm (ie- you wait for the green light and race 3 laps.)
Rubberband AI has a clear, detrimental effect on your race. It negates your efforts in the race by giving your opponents an unfair advantage. The AI is not smart enough to use the boost, or the terrain, or whatever to be a decent opponent, so it's allowed to just skip huge tracks of the course to keep things exciting. There is nothing you can do to prevent rubberbanding, except I guess, to not be very good at the game. If you outplay the AI, it will cheat to stay competitive. That is lame.
NG AI, on the other hand, does not cheat. It has no special powers. It does not get to break the rules if you're too good. The cards are on the table, so to speak. If you outplay the AI, it becomes bloody chunks.
Boiled to brass tacks, Ninja Gaiden is about a fight, and Motorstorm is about a race. Respawns have absolutely zero effect on the outcome of an individual fight in NG. Rubberbanding is a pervasive design decision that affects every race in Motorstorm. They are not equivalent.