If it were me and there was baseboard to put on I'd have it installed.
Reason is you will have to fill nail holes+sand and paint them.
If you put latex caulk to finish off the top edge of the base board you paint that also as it will turn yellow if not painted.
New housing we will dust new drywall walls, prime+then sand walls next day and one finish coat of paint.
When all flooring,doors trim,base ect is installed,we will come back and fill all nail holes(2X)sand and caulk top edge of base+door frames start first coat of trim paint,then second walls.
Last we will final coat trim as then we can get a nice straight edge where the trim and wall meet.
Sometimes will use a 24"wall paper smooth edge knife to go along the top of the trim,but mostly by hand.
Good idea after first stroke of the brush is to wipe the knife off with a damp rag.
If there's too much paint on the knife from the brush it will go onto the wall.
Should add that if there is carpet under the trim we will put drywall tape under neath as you can push it under with a putty knife as the paper tape is quite tough.