I think so, but there are VERY different laws and cultures between the two countries. In France there have been a few small-ish protests about the "health pass" this past week, but it's nothing compared to the anti-mask, anti-vaccine, anti-lockdown stuff we've seen in the US.
I suspect they would be hesitant to implement it in US parks for a few reasons:
1. Risk of losing guests. There are already some people on these boards saying they are canceling their trips now that masks are back (partially). Adding a vaccine passport would be no-go for roughly half of people in the US.
2. Kids under 12 can't be vaccinated yet, which is a large part of their visitor base. I suppose they could say people under 12 don't need a pass to enter, but enough people were trying to argue why their 5-year-old didn't need to wear a mask if 2-year-olds didn't need to wear them, that I can see that becoming a nightmare quickly.
3. It creates the idea that people are safe from the virus without doing anything else. After all, if I know every person at the park over age 12 is vaccinated, why have masks? Why have distancing? The issue is that breakthrough cases of covid post-vaccination are on the rise. It's still much better than cases of unvaccinated people for sure. But there are certainly enough of them that people still need to take precautions. Vaccine passports might make people feel like they have eliminated all risk of contracting covid and cause them to reject other precautions (as we've seen with post-vaccination returns to mask-wearing).
4. The case with Norwegian is still ongoing. They won the preliminary injunction, IIRC, meaning they can check people's status while the case continues. Cruise ships already have a lot more authority to check people's health because everyone is so packed together. Theme parks are a different beast, and just because the court ruled for Norwegian doesn't necessarily mean that Disney would win a similar suit for land-based attractions. I think
DCL would be fine and expect they will implement a similar check, if they haven't already. But parks?
5. Also...for which parts of Disney? The parks? The hotels? Restaurants at the hotels? Restaurants at Disney Springs? Disney Springs itself? The Governor would throw a FIT at that point, and so would a lot of locals. Which brings us back to point #1.
I'm not saying I agree with these viewpoints at all. Just that there are a lot more considerations for WDW than there are for a cruise or for DLP where the French government mandates them.