IMO a much simpler trim would have been better and I assume this will all be painted so MDF would alo have been a better choice . Now for the wall color a very tiny artisis brush used for the wall color before painting the trim

Simplifying the trim in these spots could be done but would that clash with the other areas of the house where the trim looks wonderful as it is not next to any other doors in such close proximity?

I would think we need more context so is this issue anywhere near the other trim or in a bedroom type area for instance.

I personally prefer when trims meet.

It makes for a real design statement.

if you don't like it, you'll have to rething the trim profile... on all the trim, so it looks the same, regardless of how close they fall out.

The location for this is in a hallway from one master bedroom 2 - the door on the left is a closet door and the opening on the right is an opening to master bath 2. This area is enclosed by double doors opening to the master bedroom 2. However there are other similar troublesome areas just like this in the laundry room. I cannot change the entire trim for the rest of the house at this point. It is a large home so there is already a lot of trim work completed that looks wonderful.

I have similar situations in my house (but my trim is much simpler profile than yours). I had the trim altered to be wide enough to meet at such places so that there was no tiny sliver of drywall - it's just a column of wood and looks great.

Given that you mentioned it's too late to modify your trim, you might see if your carpenter can add a piece of flat trim to close the gap. It will almost certainly require scribing or else removing to redo it with the filler piece in place first.