Nope, I'm on "Latest Tweets".
I follow over 2k accounts, so the odds of the most recent tweet being 45+ minutes old is low.
I also double-checked some of the people I am following, and indeed their most recent tweets are not showing up in my home timeline.
This is happening across all my devices (mobile & PC), so I assume it must be an issue with their infra that is limited to a subset of their users. Possible an issue with a cluster?