Not much I can add to the very sound advice above, except by suggesting spending a bit more time with positioning and toe in.
As for ATC, which I own in a floorstanding version with the same tweeter as those you mention: they are pretty well neutral, with a supporting bass so no brightness per se, and low distortion so negligible 'splash' and highly transparent with plently of natural shine on cymbals, for example.
Contrast PMCs which invariably have a deliberately elevated upper treble which gives 'added air'. In many rooms, aiming them straight down the room with no toe in, works fine. But they aren't neutral in my experience, though they can sound great.
A more rich-toned speaker that I ultimately could not get to work for me, but has many attractive qualities, is the Martin Logan ESL. Worth seeking out to hear, from an Absolute Sounds dealer in the UK. https://www.martinlogan.com/en/category/our-speakers#series-electromotion-series
If you are in the South West, then Stone Audio (Dorchester) and Paul Green (Bath) are where I've heard them. Not conventional looking but my wife loved the see-trhough look which minimises their bulk.