Further unpopular opinon: Khazad'Dum should be a different style or architecture and ornament than The Lonely Mountain though they should share design elements in common and Lothlorien should look basically nothing like Rivendell. Totally different sensibilities, languages, cultural heritage that is not Elrond's very fused but very western family background.
we got a teeny bit of that in The Hobbit, with the Ri brothers being Broadbeams from the Blue Mountains, but it was more of a class division (craftsman vs the Durin soldiers) than visual differences
Yeah! I mean the founders of The Lonely Mountain were Durin descendents but they were thousands of years out from the building and flourishing of Moria! Time scales like that change cultural tastes.