having a 4113, I dont see how they would get it out of there without taking something apart, like most of the bathroom, vanity included. Probably have to remove the bed and platform too in order to navigate getting it out of the bathroom and down the hallway. seems like the tub is taller than the doors too. Suggest using a measuring tape to get an idea of dimensions. Also would need to validate the positioning of the drain in the pan- if not identical, then you are looking at plumbing work too.
Cant really say this much effort would be worth it given the costs noted. Better to get a 2019 and up version is this is a critical path item, as you would never recover the investment for resale, etc. Plus, will the 3rd party actually install it properly? I would guess there would be some resulting headaches from the changes too.
We personally sought out a 2018 to have the tub. Sometimes the wife/daughter like to have a soak, especially the little one, she likes bubble baths....