I do not know the answers, but my thoughts (until now) are influenced by the fact that the Datron/Wavetek design is with the slots.
Also the gear that uses this design (like 4808, 4910 and 1281 to name a few) is representing and rated top notch.
So my guess is, there probably is a good reason for slots.
Yep, and that's exactly, what's always done during Copy-And-Paste designs ... i.e. copying possible errors or nonsense also.
Many people in this or in the Asian community simply copy the LTZ1000 'A' version, available from China, because it's sitting in the venerable 3458A, including the 95°C operating temperature, without thinking.
Perhaps, Datron did not calculate anything also, and simply introduced those slots by similar hand waving arguments also.
All those instruments you mention, base on the same reference module (afaik), so that's no argument, either.
And there exist also several successful designs without any slots, I think in the 732B, the ceramic substrate doesn't have those, either.
If there's a physical effect, it should be obvious, or should be measurable in an appropriate experiment.
The cited AN or the experiment in the CD forum deal with a different effect, than directly on the PCB, I think!
It's well known, that molded IC are sensitive to bending, due to their internal construction.
The mold compound might imply pressure on the chip directly, and the base lead frame, where the chip is epoxied onto, is flexible, because it's a thin sheet of copper only.
So, if you bend or distort the legs of such molded IC, you will easily bend the chip itself.
But that is perhaps not the case for the hermetical TO case. There's no mold compound, it has long legs, and the chip carrier is more solid.
And I do not see an advantage of those slots, if you want to avoid flexing of the PCB.
In contrary, slots might intensify bending forces on the legs, because slots can move, but a solid PCB area can not by that amount.
Sorry, no, I still can not identify any causality in there.
Frank