I have some random Amazon Zigbee bulbs connected to my Hue Bridge; the only annoying thing is that, while they show up in the Hue app, Hue doesn't expose them to Homekit like it does its native bulbs. At least Homebridge will get them to show up.
There are at least 2 problems with this setup (besides the fact that brightness and colors are a lot better on hue then on any of the others)
1) non hue lights wont be homekit compatible (they dont even get exposed to homekit)
2) non hue lights cant be used in multimedia zones so no ambilight there