There are likely various factors at play.
Monochrome logos were expensive in past since colour printing (especially quality colour printing) was expensive. Apple was notorious for their colour logo, supposedly because they wanted to emphasize that they were offering colour personal computers. Ironically, they would introduce the black and white Macintosh a few years later.
At least with respect to user interfaces, many of the design elements were meant to emphasize the improved graphics capabilities. For example: the so-called "3-D" elements graphical elements of the mid-1990's, which were little more than shading to add the perception of depth, highlighted improved colour depth. I would imagine that something similar was at play when it came to product logos. So it's probably more of a case of more complex logos for more complex video.
Highlighting the improved graphics capabilities is meaningless these days, so there is little point in constraining themselves to colour logos, which gave an opportunity for simpler logos to return.