It works fine, peeps are designed to offer many different angles of sight. That's why most are dished on both ends, and most are offered with only one string groove option. Even the long tube raptor only gives two string groove angle options, yet we can all see through them perfectly centered and circular despite not being a perfect 35 or 40 degrees.
When you adjust the front sight on an AR-15, do you also raise and lower your head to see through the peep? No, absolutely not.
Do you change your anchor point when you adjust the windage on your bow? Turn your head left and right to compensate? No, you maintain your anchor because doing so leads to repeatable precision. You'd be dumbfounded if someone came here talking about their sight being out of windage and everyone said, "well did your turn your head right and left after each adjustment?".