The spirit of the terms seems to be they don't want combined chat, and are relying on the fact that most streamers are not going to develop their own chat combining software.
If people try to get past this on a technicality, expect them to revise the conditions.
A huge majority of streamers rely on overlays provided by either the companies Streamlabs or StreamElements for things like displaying a chat on their stream, among others.
Why are you commenting on something you clearly know nothing about?
For the rest of us who also know nothing, could you expand on your thoughts? Information is much more interesting than an internet slap fight :)
But, silly pedantry aside, my point still stands. It seems like Twitch doesn't want chats combined, regardless of the mechanism.