I started with a 2X Leupold on my .375 JDJ, and after about 2 years, switched it to a 4X Leupold 16 years ago. I'd recommend one or the other ( preferrably 4X) over any red dot, for that caliber because the round has at least 200 yard potential in trained hands. I've carried mine hunting on four continents, to my complete satisfaction.
I've got eight Bushnell 3200's in service on various guns, including an XP in 7mm-08, and would highly recommend it. If you want simplicity and ready familiarity between the two barrels, the 3200 will also work well on the .375 JDJ.