Not the tube guy... but here is what I think:
Gyraf's section has no interstage transformer, and a very high impedance input to the buffer (472K grid resistor).
If it is also high impedance then it should be present no problem.
(Post a schematic of the API section you want to use as the other output buffer, or link to one of the many schematics in the Technical Documents section).
It is important thought that some transistor buffers, and the buffer on the Gyraf have offsets. The transistor buffers because they can't get rid of them have small offsets that probably won't effect the filter. The Tube buffers, because they are necessary, have very large offsets (bias) that would effect your transistor buffer. So you should make the so called "split" before the coupling cap and at least leave the cap on the Tube Buffer leg (and maybe have one on your transistor buffer depending).
Are you going to combine these outputs, or is this supposed to be switchable?
This is really hard without schematics or sketches, my Gyraf schematics have no part names and I don't know what circuit you are going to make using the transistor opamps.