Hello Kristine Marie!
Even back in the dark ages when my kids needed strollers (waaayyy back in 2008), we relied on them, so I know how important it is to have the right one for your family. With so many new stroller types and configurations it can be challenging to know which way to go. The most important thing when planning your stroller strategy is to know and understand Disney's
guidelines.
However, as you have said, conflicting information and experiences is surrounding any wagon style stroller that you can push. My Disney Parks Moms Panel friend, Anna, explained her experiences
here. And, while the official word is no wagon style child conveyance vehicles are allowed, I too have seen some in the parks.
If you want to be sure that your stroller choice will not cause a delay in your day, I recommend sticking to standard strollers- either one that you bring on your tripe, rent from a reliable vendor, or
rent directly from Disney.
I hope this helps with your planning!
See ya real soon,
Anne