Let me side with the CD group.
I have really only one argument. The organ is perhaps the most difficult instrument to reproduce. Now, ALL the organists I know are very clear about preferring CD to LP.
Any CD player is a capable reproducer. You may find it hard, but it is true to pitch, it does not wow, does not pop and click, and you can listen to the bass, the tenor, the alto and the soprano.
Last week I used a Nad CD player with my system, and while it is not in the same league as my Meridian, it is listenable. This I cannot say about most turntables. I did listen to some extremely good ones, but then they cost a fortune.