Well, I've never heard of anything on Roku failing to work due to the brand of the TV. I'm not even sure if brand names are communicated over HDMI. I did notice in the Wikipedia entry on HDMI it says: "Use of HDMI logo requires compliance testing." so it seems unlikely to me that one HDMI thingy would intentionally not work with another.
Here's an interesting thread:
The question was: "When will HBO Max support LG TVs, Roku or Amazon Prime Video?" and the official AT&T answer was: "HBO Max is now available on Roku devices. Just download HBO Max on your supported device, sign in through your TV, digital, or mobile provider, and start streaming."