You know, having the plan to watch the Arrowverse entirely soonish, it's kinda disappointing that Superman & Lois isn't the same universe. Damn, I wish we could have got that Batwoman crossover.
I still like to think of it as either a branched timeline to Earth-Prime (with Gotham Knights) or Post-Crisis Earth-38. Using the same actors but not the same characters is weird to me. Renee Montoya in Gotham and Batwoman, for example, feels like the same character, as do the Arrowverse and Superman & Lois characters.