Change it, yes.
In addition to what Andy P mentioned, you now have an opportunity to make a change to the tape color(s), the brand/manufacturer, and finally the specific features of the tape. Features include thin vs. thicker tape, as well as the degree of tackiness and variance of feel to the tape. Plenty of choices that are based on personal preferences and, of course, availability.
Here is a VIDEO from Park Tools that I used recently that explained quite well how to do it yourself. This video includes the technique used to ensure that the tape is correctly wrapped on the drops as well as on top of the bar. It is all in how you manage the transition at the brifter.