Have you ever actually lived with a wet room? They can be quite unpleasant in a cold winter area, and very tiresome to mop up after. Water ends up on surfaces everywhere, more than just steam. Be sure if you really want to do this that you put a very textured anti slip floor underfoot throughout the entire bathroom.

I had a large shower with no door in my previous house. It was chilly and I hated showering in there in the winter. I would always go and shower in the small guest bath in the winter. Current house has smaller shower with door and it is so much better.

From the current plan you show it doesn't even seem like 2 people could shower in there at the same time.

Just say no. Super bad idea.

A friend did a large shower/wet room and ended up hanging a vinyl shower curtain with a cheap tension rod to keep the heat and steam in... wasn't a great look

To answer the question, I wouldn't.

Ok so door it is!

@vinmarks why do you say 2 couldnr fit due to the size? if shower head placement thats probably not the layout drafter just put them in like so

I know someone that did a conventional shower but no door, it was large enough that there was no door but there was a "vestibule" outside the shower to reduce drafts. The vestibule took up another three feet width. There were a couple issues with it. You had to go inside to turn it on, and it only got warm enough for one of the couple with all the shower heads going, which used so much hot water that they needed a supplemental water heater and pressure system.

PS. The dormitory I stayed in in London had true wetrooms instead of full on bathrooms and they also had shower curtains to help keep the other things in the wetroom dry, like the toilet and the toilet paper and so forth. You also got wet just going in there to use the toilet. Luckily the rooms had their own sinks. I also found the wetrooms cold to shower in even though they were not that big.

yeah ive seen those european style wet rooms and those are a nightmare

I stayed in a hotel in finland that had a wetroom/bathroom. It was disgusting. you had to squeegee the floor and everything got wet. Yes, know, hence the name. Sink, toilet, baseboards and toilet paper - all drenched. Yuck. As someone else mentioned, just say ’no’.

This doesn't give you layout choices for your space. Where I see wet rooms are the preferred option in residential builds is Japan. And their spaces are compact. Plus, a soaker tub is valued. The toilet is separate. For yours I'd use self-closing pocket doors for your toilet and the door between the closet and bath. A Japanese-Inspired Wet-Room Style Bathroom Renovation (sweeten.com)

Well awet room right next to the closet is never a good idea. In fact if you are renovating move the closet so that you do not go through the bathroom to get there . You can do a nice shower with no door but a curb to control the water and some good design of where the water comes from. Just for gods sake do not put a tub inside a shower ever . I use glass shower screens all the time on tub/ showers no problem