Many of the things you hold against the latest film were in TWOK as well and many fans believed TWOK wasn't "true" Star Trek.
Wrath of Khan has thematic depth, strong characterisation and a sense of timing, patience and maturity to its storytelling. Compare the Kobayashi Maru test in both films. Tells you everything you need to know about why I vastly prefer STII.
Or compare Khan to Nero as villains...