Special pressing LPs when the master was digitally recorded?

I agree. When playing digital on turntables you don’t have all the inherent drawbacks of CD players to contend with. 

If you enjoy it, what's the difference?

All I can say is listen to Dire Straits Brothers in Arms 45 rpm MFSL on a good system if you have the opportunity to do so. 

A novice succumbs to audio nervosa-concerns/worries of "the better recording." 

Just play a clean record and enjoy it.  That's what I do while reading these forums, eating breakfast.

I do hear the LP version of a 1987 digital recording -1812 Overture w/Sir George Solti leading the Chicago Symphony Orchestra,as more convincing compared to the CD. Breathtaking,especially on a top not system. Playing the CD on an equally qualified system, there is a "something" the record presents which is more pleasing.

I am not a novice, but am not sure what the advantage is in having an audiophile LP pressing of
a recording that recorded digitally? Any thoughts?

Yes. The advantage is it sounds better.

Do a search, find the interview with Jennifer Warnes. Famous Blue Raincoat is a digital recording. In final mastering they made four versions, one of which was analog tape. All four of them, Warnes, Cohen, the producer and whoever I forget, point is they all agreed the analog tape version was the best.

For years I could never understand why Famous Blue Raincoat sounded so good in spite of being digital. Now at last I know: because its not.

Now that just leaves Brothers In Arms..... which yes it does sound a whole lot better on the MoFi 45. Because: analog.