The TD-125 would be built to order and customizable. An example is here: https://vinylnirvana.com/product/the-master-thorens-td-125-mkii-w-sorane-ta-1-tonearm-in-solid-zebrawood
In addition to the new solid plinth, dustcover and tonearm, here's the service list: https://vinylnirvana.com/restoration_services/restoration-thorens-td-125125-mkii-turntables
My present setup is a Herron VTPH-2A / deHavilland UltraVerve 3 (hand built by Kara Chaffee) / Pass Xa.25 / Klipsch La Scala (vintage 1990 birch plywood). I listen to rock, jazz and blues and it's on a basement slab.
I tend to gravitate towards well built and good value for the sound they produce. Kinda thinking the 1960s German made and carefully restored TD-125 would be a better fit than a new shiny made in Taiwan TD-1600. Price difference is only about $500.