I had to show OW, AOW, and Rescue (all 3) to start Divemaster. The paperwork for Divemaster certification has blanks for the instructor to sign off for all 3. Not sure why you'd need that if all you had to do was show Rescue. Seems redundant. Not sure if it's a local decision, but a couple of IDC's I've looked at state that you need to bring all prior cards with you.
However, you're right I don't mean (nor do I think the IDC's mean) ALL certs. Just those prerequisite to a higher level. I don't think PADI (e.g) requires you to show your "Fish Identification" card to get Rescue certified just because you happen to have it in your wallet.
Not arguing this is logical: If you have Rescue, presumably you also have OW and AOW. Maybe for folks like me that got OW, AOW, and Rescue from 3 different agencies? If I some how talked my way into one of these, it's possible I never really did the former. (E.g., YMCA OW divers certified prior to 1984 are out of luck if they lose their c-card, apparently. "Gee, I was YMCA certified in 1983 and Bill over here has been my buddy for YEARS and will vouch for me. Can I take AOW with you?)