WDW has bracelets. Universal has lanyards.
And WDW used to have lanyards. How else did pin trading get going?
They've always (we started going in 2010) made us take our admission out at the park entrance, FWIW. Since we use hard plastic cases it might not scan through, not sure. Though the EPs scan just fine through that plastic.
I find lanyard pouches great to keep my ID and insurance card (never know if your day might end at an ER, where they'll treat you without those things but they'll also visit you every half hour until you get them the info and proof that you are you) along with CC and cash. I still use them at WDW.
DS has been wearing a lanyard since our first big
Disneyland trip when he was 3. Not sure he kept anything in there, but he wanted to wear it. Since the lanyards at Disney and Universal have velcro attachments for safety we didn't want to tie it to make it shorter, but our little pirate figured out that if he wore it across his body diagonally then it worked.

Now he carries all of his cards with him. Not sure when. At some point between 3 and 12, though, LOL.
For a little while I carried everyone's everything. That was after DH had his and DS's Disneyland APs in a Disney-bought lanyard pouch, it was under the restraint on CA Screamin', he *felt* it pulling, hard, and during the loop it pulled even harder, broke the plastic* on the pouch, and off the pouch sailed. Out in Anaheim you get to pay for AP replacements, and since they never found the APs (in a Disney pouch, on a Disney ride, when they said that they search with lights on every night for things that drop...whatever) we got to pay for both of them to be replaced. So for about a year I kept their cards.
*one of many reasons I use the hard plastic, waterproof case with strong metal rings on a strong hard plastic loop...