There are several perspectives on this topic. A significant aspect of pop music is to bring something fresh and in the moment to each performance, as opposed to reciting the piece like it is Beethoven.
That said, it is also appropriate and the mark of a mature player to study the original track and be aware of the original line as a reference. Being fluent with the original track creates cred to own the tune with appropriate changes in arrangement, feel, and line; as well as spontaneous "commentary." The better the familiarity with the tune, the more flexibility there is with rendition. Of course, when you are playing from a catalog of, say, 125 tunes, with rotation of current "hits" into the catalog; there can be a learning curve.
Ultimately, the purpose of entertainment is to entertain. And, another reality is that non-musically educated audiences will most often respond to feel over technical correctness. IMO, it is important to look at what a player does over an extended time vs getting ultra critical about specific performances. YMMV