The use of anachronisms should not be confused with anachronistic dialog. From TOS to VOY, the dialog was futuristic, well-spoken, and with minimal slang but with occasional use of anachronisms appealing to the audience of that time period. Tom Paris's love of classic cars is a perfect example. However, the dialog of many TOS episodes is consistent through VOY. ENT was near-future Star Trek but overall feels futuristic.
Modern Star Trek dialog has been mostly anachronistic. It doesn't feel futuristic to me with the exception of Picard and I very much disliked the first two seasons. Picard S3 probably contained more anachronisms than all of TNG but overall it was futuristic and intelligent, with a connection to its history aside from mere fan service and sound queues.
Again, this is my opinion. Maybe modern Star Trek just isn't for me. I don't begrudge others for disagreeing. If I deem that SNW S2 is unwatchable I have many, many hours of classic Trek to entertain me.
To summarize in today's terminology:
TOS - ENT = 1967 Camaro
Picard S3 = 1971= Cutlass Supreme
Disco, SNW, PIC S1-2 = 2011 Toyota Camry
In 2053, no one will care about the 2011 Toyota Camry.