Hello Kristyn
Welcome to planDisney! I have used a stroller on every Walt Disney World trip in the last decade and it is convenient not only for my little ones but also for the grown-ups who need a spot for their drinks and snacks! I am sadly reaching the point though of having to put it away as my kids get older and heavier.
I appreciate that you are looking into options for your family! I see that your Wonderful M1 stroller does fall into the sizing guidelines for an
acceptable stroller but the rules do clearly state that "stroller wagons are not allowed". As this is listed as a stroller wagon I, unfortunately, have to say that they most likely will not allow you to bring it into the Parks.
I see that this stroller could weigh 50 lbs and as a mom who has navigated the Parks and
Bus Transportation quite often, this lovely stroller may be difficult to wrangle and carry as it must be folded when on the busses and held out of the aisles. Having something like this while carrying a sleeping child at the end of the night may be very difficult. I have used a traditional side-by-side double stroller as well as a single stroller with no issues in the Parks. I would recommend you consider
Renting a Stroller right from Walt Disney World Theme Parks or Disney Springs.
If your child needs to use the stroller as a wheelchair due to a disability, then you should speak to
Guest Relations staff in the park who can provide a tag for the wheelchair stroller so that it can be used in the Parks. I cannot give you a promise that it will be permitted as it is determined on a case-by-case basis.
Good luck with your stroller search! There are so many options allowed and I hope you find the one that works best for you!
-Nimmy