Quite a few of the BF amps used 12AT7 LTPs with smallish coupling caps on the input (because that's all that's needed with the excessive bandwidth available).
I would disagree that the reason is available bandwidth.
What is the input impedance of a vaccum tube stage? As long as the grid is more-negative than the cathode, then there is almost no current flow at the grid, and the input impedance looks essentially infinite. So the input impedance seen by a preceeding stage is equal to any grid-to-ground resistor present.
When there is feedback in/around a stage, or if the grid reference resistor goes somewhere other than ground, the input impedance might not be what we expect.
Notice that in long-tail and split-load inverters, as used by Fender, don't have the 1M resistor go to ground but rather to some largish resistance which then goes to ground. Without deriving it, know the apparent input impedance is much greater than 1M. Since the input impedance is very large, then coupling cap can be much smaller than you'd expect and still maintain a low roll-off frequency.
Aiken, Merlin and a number of the old tube books do a good job of explaining why the input impedance is higher, and exactly what that impedance is.
Note also that feedback may raise or lower the input and/or output impedance of a stage, depending on how the feedback is derived and applied. Feedback is a tricky subject with no one-size-fits-all explanation.