Picking out all the continuity issues in season one of TOS makes a fun drinking game. Balance of Terror also had the crews of both ships whispering like they were worried they could hear each other. lol
Some of the continuity changes, especially to the characters, feel like improvements to me. Chapel and T’Pring are far more interesting in SNW. They don’t just feel like walking tropes as they usually did in TOS.
Speaking of design, I like what they did with the sound in DIS and SNW. They hail someone and it starts with the TOS sound and ends with the TNG sound. They have lots of sounds blended from the different eras and it works surprisingly well.