I have to agree, redemption card is part of the card set, nothing but mint condition for me. Also, I would never buy a signature card if it was via redemption but the redemption card was missing.
But that’s just me. If you got it at a good price and are happy then that’s what matters. The booklet will be mint so you can display that nicely.
But to answer your question, it will absolutely effect the price being in that condition.