Meh I watch Star Trek in order of "what am I in the moof for." Episodes are standalone stories. Unless you're gonna binge watch to follow sets, costumes, Nimoy finding Spock's character or Shatner's weight, there's no advantage to one order over another other than personal preference.
The present them in the order they series was first seen by the public. This is mostly industry standard.
And the Production Order we had gotten isn't necessarily the same as "order each was filmed." R+Star Trek's production order is production number order. Shit happens sometimes and episodes get moved around. Once we're past The Menagerie, it doesn't really matter one way or another. If the series didn't change and grow so much in those first episodes, I wonder if anyone would really care? I'd actually prefer the series released in Roddenberry's preferred order.
Also, the second season started on NBC with a story about Spock. That was a production choice. Catspaw was never meant to be the season premiere.
Anyway, if they wanna put it in production order one day and fix all the glutches and so on and add some network promos, sponsors billboards and NBC ID tags, I'll happily pay for it,