^I haven't read the "Archons" adaptation yet, but from what I gather, that could be more a case of what we thought we knew being wrong, rather than the facts actually being different.
It's incompatible. It doesn't make the comic a bad story in its own right but it should've been an original story.
How exactly is it incompatible?
The main possible differences I can see relate to the apparent age of the Beta III civilization. In the comic, the civilization is in a single city less than a hundred years old, product of a single Earth colony mission using some advanced technology to get started; in the TV show, the civilization is presented as upwards of six thousand years old and apparently indigenous.