I originally tried a cathode follower after a 5879 and it seemed to smooth the overdrive somewhat so I've continued to use that.
...
So, my question is : Does the CF behind the 5879 tube somewhat "neutralize" the FAT overdrive that the 5879 tube gives and make it more
12A_7 like in gain and OD fatness ?
In other words, with the attached schematic, would one hear a fatter OD tone and more gain without the cathode follower? ...
I had to read you initial questions a few times to gather what you're observing/asking. If I have it right, you noticed (or remembered) there being more or different distortion before using the cathode follower.
Others covered the gain of the follower itself, and the low output impedance. Now consider the
input impedance and how that effects the stage before the follower.
In your drawings with/without the follower the 5879 has a 56kΩ plate load, which is principle in determining the gain of the 5879. The usual rule of thumb for calculating gain of a pentode is A = Gm * RL, Gm being transconductance at the operating point and RL being the plate load. However, resistance from grid to ground of the following stage is in parallel with RL (through the coupling cap), and effectively reduces the value of RL (true for triode or pentode stages).
In your sketch without the follower, after the 5879 there is ~320kΩ to ground through the resistor and OD Level pot. That reduces the effective load of the 5879 to ~47kΩ, a ~16% reduction. In contrast, the input impedance of the cathode follower is very high, enough that it does not reduce the effective plate load resistance of the previous stage. So you can expect the non-follower circuit to have 16% less gain.
Now I haven't plotted loadlines for your 5879 stage (which are a pain with pentodes because we need to have curves based on that stage's screen voltage), but I do want to point out something... Yes, with the cathode follower the gain of the 5879 is not reduced due to loading effects. That said, the angle at which the loadline cuts across the gridlines is different for the two cases. There is some optimum loading of the 5879 which will produce the largest output signal and least distortion. Going in either direction above/below that will reduce output capability and increase distortion, but one may tend to emphasize even harmonics while the other emphasizes odd harmonics. Or perhaps both are present but one load tends to have the operating point closer to where the gridlines crowd together below the knee (heavy distortion) while the other emphasizes crowding of gridlines near current cutoff.
Point of the above is that the changed effective load could be changing the way the 5879 distorts, and not just how much voltage gain it exhibits, which then accounts for the differing perception of "fatness" for the arrangement you otherwise expect to have less gain (and "gain" itself isn't equal to distortion; we can cause a stage to distort while offering zero gain).
The overall idea is that a gain stage is impacted by the load which follows it; sometimes a heavier load after a stage reduces overall gain, but also causes the stage to distort in a way it otherwise wouldn't.