I've brought items from actors' previous bodies of work many times and have always received positive reactions. E.g. I brought a Playbill from a National Tour of "Miss Saigon" to the "Hair" SD for Will Swenson (Chris). That had been the first big MT show I'd seen as a kid and the piece that hooked me on MT for life. Wil actually spent about five minutes looking through the Playbill with me, chatted about how that had been his first big professional acting job, signed it "Will Chris Burger Swenson," and seemed pretty touched that I had remembered his performance from a decade prior.
I've brought merch (like coffee mugs), scripts, cast albums, etc. Even a prop once: I asked Patti LuPone to sign the plastic apple I had caught at "Gypsy" at the Patti/Mandy SD. As long as you have the Playbill for the current show in hand, don't take up a lot of space, and aren't obnoxious about shoving stuff into actors' faces like getting the signature on your item is more important than expressing appreciation for their body of work, I think it's totally fine. I've sometimes received neutral reactions (especially if the performer is in a rush or the SD is mobbed), and sometimes overjoyed reactions, with the majority in the middle. I've never had anyone say, "I won't sign that for you because it's not from my current show." (Note: I've never asked an A-list movie actor to sign something not-related to the show, so the "rules" may be different in that case.)