Probably. Plus, Lower Decks and Discovery (and to a lesser extent, TOS) shows us that multiple badges can be used at the same time on different uniform designs or by different ships. The Future Imperfect design might've been pulled out of Riker's memory as a combadge he had used on the Hood or Betazed or something. The All Good Things... design may have been used originally in 2358 (back when Admiral Janeway was wearing his 2370s conbadge) as a trial run, before being picked up for use again in the 2390s (and/or modified into the STPicard badge). The 29th century crew may have adapted the use of the DTI symbol that had been used for the centuries since the 2270s.
We don't know, and I personally would've rather them use different known designs (like the Lower Decks, Discovery, the non-arrowhead TOS, Enterprise era, maybe some Klingon and Romulan symbols as well) or new designs of uncertain origin rather than headscratchers like this that require long-winded explanations.
