I hope you guys know that in the Steelhead, the 5687s are used as cathode followers, both of them. Only one of the two is used for the direct output, bypassing the volume control, when you use the Steelhead as a phono stage only. If you use the Steelhead as a full function linestage, the signal then and only then passes through both of the 5687s (and the volume control), per channel. Keep in mind that a cathode follower adds no gain to the signal. Active devices that do not supply gain are much less able to cause distortion or to have a "sound" of their own, compared to active devices that supply gain. The most likely way in which the 5687s could affect the sound of the Steelhead is if they are noisy. But even then, noise in a CF tube is less obrusive than noise in a gain tube. Using a rare and valuable 6900 to substitute for the 5687 is not only a waste of a great tube but also may not be optimal for the 6900, because although the 6900 is a direct replacement for the 5687, its optimal operating points are quite different; the 6900 can tolerate and likes to see much more current compared to a 5687. I don't know the operating points for the 5687s in the Steelhead (the schematic is a deep and dark secret), so I don't know how much current is drawn by each 5687, but likely not enough to get any extra benefit from the 6900's capability, even assuming one could hear it as a cathode follower. The 6922 is the single tube used for (phono) gain in the entire Steelhead. I own a Steelhead and a gaggle of 6900s, too.
The Steelhead is a great piece of gear. I found most gain in performance by replacing the coupling capacitors between the phono section and the volume control and between the volume control and the line output. I use mine as a full function preamplifier, and it got a lot better after I replaced those parts. I'm still using the factory-supplied tubes, however.