The one thing to note on the LX comparison - While the LX offers a lot more, a lot of the upgrades were not standard options so the LX buyer had to tick the box. So for example, 2013 LC 200s had the pre-collision items as a standard option, while the LX 570 had it as an option with the distance cruise control (and I do not think that many selected it). The multi-view camera system (front, side, back) was standard on the LC, and required an option to be marked on the LX.
In 2013 the LC came with heated steering wheel, heated/cooled seats whereas the LX required those as options to be selected through a package or individually.
No doubt the LX is going to be quieter stock due to the extra noise insulation and have nicer quality materials, however if you are a stickler for features make sure to check the LX listings and pictures very closely to make sure that they have the features you want.
Safe bet is LC for the standard options, otherwise LX just make sure you verify it has what you want. And most dealers are going to have no idea what is actually on the car, so you will have to ask them to take pictures of dash and controls.