According to our understanding of the intermix chamber.
What understanding? Andy Probert himself said the intermix chamber was mainly envisioned as a glorified power transfer conduit. If there's something more than that to understand about it, we DON'T, because nothing more than that was ever established.
They've never been referenced to anything but an antimatter matter reaction.
I again refer you to that scene in TMP you apparently keep forgetting. Just before using the impulse engine for the first time, the dialog goes:
Scotty: "Intermix set, bridge.
Impulse power at your discretion."
Kirk: "Impulse power, Mister Sulu. Ahead warp point five."
Now unless you think impulse engines are powered by antimatter (they're not, by the way) the only explanation is that the intermix chamber is either channeling power from the main reactor to the impulse engines, OR, the impulse engines are channeling power from their fusion reactors into the intermix chamber. The latter seems more likely considering it was "antimatter imbalance" that created the wormhole 2 hours later, so the matter/antimatter reactor was likely on standby at this time.
Also, the Enterprise-D--like most if not all of the ships in the 24th century--does not have an intermix chamber, it has a warp core. The two are very distinct concepts and are mutually exclusive, especially since the Enterprise as of TMP does not appear to be equipped with a warp core anyway.
According to Memory alpha it regulates preasure of plasma.
Fusion reactors generate plasma. So do nuclear-thermal (fission core) rockets.