No. At least in my simple mind.
If the finger inserts "cause" the bowler to roll it differently then it rolls differently. Some people overthink things... It's what the bowler does to the ball that affects how it rolls.
Remember that no ball "reacts" by itself. It's merely responding to what the bowler does to it. Speed, revs, rotation, tilt, and lane conditions will bring out characteristics of the ball, but a reactive ball rolled end-over-end, for example, still goes straight.