And just to confirm - there is no Cinemax with HBO Max? They are two different products now?
I really question why Cinemax continues to exist, at least at its current price of $10-12/mo, depending on provider. They announced over a year ago that they were done with originals, so now all Cinemax has to offer are reruns and a movie library shared with HBO Max. (Well, they will put some movies only on one or the other for a few months but then they shift to the other.)
And now several Cinemax Originals are available to stream in their entirety on HBO Max, including Warrior, Banshee, The Knick, Jett, and C.B. Strike. Their only big series that hasn't yet jumped over to HBO Max is Strike Back, Cinemax's longest-running original. But my guess is that it will this year. Adding in those Cinemax series has helped HBO Max fill the gap created by the pandemic-induced production slowdown of their own new original series.
All that said, don't spend $10/mo on Cinemax. Get HBO Max for $15 (or just $12 for the first year if DISH offers you that deal). And if you already have HBO Max, most folks would find their next ~$10 better spent on a different premium like Showtime, Starz, Epix or Encore (or an ad-free streamer like Hulu, Disney+, Prime Video, Peacock, or Paramount+).