The painter on our build has taped-off and sprayed every piece of trim in the house thus far. I would venture to say that he would spray that trim as well.

Doc5md, yes all of our trim and molding is sprayed. The problem is we are living here now and the overspray, at least that's what they keep saying.

A fox, thank you! I was worried about the cracking as we're dealing with that currently with our crown molding. The painter did mention the caulk would take away from the shape of the molding. I didn't know if there was a way to get down in there but not fill all the way... If that makes any sense? Will the shadow lines be noticeable?
 Good advice on the the brush vs roll. I will talk to my painter and hopefully his brushing technique is good.  ᾑE

@bsds71 Yes, overspray can be and issue for sure. Our painter puts plastic all over the place, almost like a spray booth! lol.

I do think that a painter who can brush well would do great for you also.

Our house was mostly finished when the painters taped everything up to spray some large shelves in a storage room. They failed to cover up the small gap below the door ... guess where that overspray went? Right under that door and onto the hardwood floors outside the room. Luckily I saw it as it happened, wiped up while everything was wet and had no issues. So even if they cover everything up, any air movement (hvac) in the house has the potential to send overspray into unwanted areas.

Chispa, I am glad you caught that! And also makes me feel better about not pushing them to spray. Hopefully it turns out good, still a little nervous. Either way, it'll have to look better than my kids dirty fingerprints all over the wall...much easier to clean semi gloss than flat!

For what it's worth - based on how exacting this looks up until this point, I'd trust your folks. It looks really well done.

There are ways to caulk those lines. As for spraying if that's what you want it can be lots of labor but definitely can be done. We set up plastic walls with zip poles and exhaust system works great for us when the client wants a sprayed finish.

Thank you! I actually went ahead and called our painter, it turns out he recommends spraying. The builder for some reason told him to brush and roll. Not sure why? We're paying for wainscoting, the builder is just paying for the nail pops and touch ups throughout the rest of the house. My guess is he doesn't want him tied up too long at our house. 
He said he'll just mask everything off, including the ceiling and turn off the HVAC. Hopefully it will all work out!