Heat and age will cause the vinyl to stretch, shrink, shrivel, etc. and the glue to melt. It won't be pretty.
At least that is my experience with electrical tape. If you really want to do cable wrapping with a tape, it's best to do with a non-conductive cloth based tape than vinyl electrical tape.
I haven't noticed anything yet, The internal temp of my case is almost room temp under heavy load due to the great airflow, and i didn't use any cheap tape i used 3M 33+ most likely the best electrical tape ever.