BH's don't let what's in the horizon out unless outside is verrrrrrrrrrrry cold (the universe will have to keep expanding for a long tine before it's cold enough for even isolated stellar-mass BHs to lose net mass to evaporation) or the BH is very small.
On the other hand, SMBHs will typically be found in galactic centres, where there is a lot of dust and gas.
So each of the mutually orbiting SMBHs may well have a substantial accretion disk. They may interact, or they might not (the disks might not be in the same plane, for instance).
Given the number of intensely active galactic nuclei we see in the sky, I don't think it's terribly unlikely for a central black hole to have an enormous accretion disk.
However, the Milky Way doesn't have an active galactic nucleus the central parsec is relatively quiet. The dense object in the central parsec is also pretty low-mass compared to that in many galaxies. https://www-xray.ast.cam.ac.uk/xray_introduction/AGN_intro.h...