I have been going on about K system, VU meters and the Klanghelm meters for years. Funny now how people are only just starting to twig. (slow!!)
You don't need any fancy loudness meters actually, a decent set of VU's will tell you very much the same thing.
Watch out for VU or loudness meters that take on the bar graph concept. OK for reading levels but the ballistics of that won't help you much.
The ballistics (how the meters dance to the music) is a very important quality to be able to read. AND I have tested a lot of them compared to my real VU's (which by the way still have the edge) and yes the Klanghelm meters are the closest to the real deal. However you have to tweak the rise and fall settings just slightly to get them a perfect match to the real VU's.