It’s a kraken end point, so no has no rate limiting other than “don’t be an asshole”.
I checked the end point. There was no rate limit related header present
I’ve never seen this end point with a cursor myself. The actual output for my extension, did not include a cursor key at all. But then my extension is low population.
Looking at this extension https://api.twitch.tv/kraken/extensions/wi08ebtatdc7oj83wtl9uxwz807l8b/live_activated_channels I see 105 channels and a cursor.
And this one https://api.twitch.tv/kraken/extensions/zfh2irvx2jb4s60f02jq0ajm8vwgka/live_activated_channels shows 33 with a cursor.
I suppose if you get a cursor, follow the cursor, if you don’t, don’t