Basically:
High Profile (High Reputation)
versus
Low Profile (Low Reputation)
How many chases after you as a "High Profile" character, how many wants autographs? How much ego stroking? Quests that you wouldn't find before? (Some old man trusting the White Knight wherein he doesn't trust the random Low Profile character).
How many assassins go after you? How many who would've attacked you on one playthrough just don't because you have a high enough reputation, how many wants to challenge out of honor?
As a "Low Profile" character, does that necessarily mean that you are