This article sums up the (stereo) mono cutting event:
http://www.analogplanet.com/content/beatles-get-back-mono-and-aaa-vinylRecap: They were cut on Neumann VMS-80 lathe, with SX-74 (stereo) cutter head, considered by many to be the best mastering equipment ever made. The original mono, analog master tapes were used on mono head Studer. The tracks were re-EQ'd to modern audio standards, because the original LPs were mastered with tube electronics for the playback equipment of the day, with minimal bass response. So you get more of what is really on the master tapes.
When a stereo head is used to cut a mono record, the dual drive coils are electronically synchronized. They are fed identical signals except for phase, just like a balanced signal. Since the coil signals are identical there can be no vertical motion, within the precision limits of the cutter head design. In this case the cutter is the most precise ever made, so there is little chance of vertical cutter motion. Besides, a mono cartridge is totally blind to vertical groove movement, even if it existed.
But I am not a Beatlemaniac, so please excuse my irreverence. There are some top mastering companies that maintain vintage mono cutters. Do you have any more information about who is producing the new true mono masters?
More info about cutting mono:
http://sessionville.com/articles/cutting-vinyl-records-in-mono-and-stereoBernie Grundman studio maintains vintage true mono cutting heads so there must be a demand for it.