I can imagine that dyed-in-the-wool classical fans will have a similar opinion to fans of electronic/dance/trance music - and not a very high one at that. Certainly for those that insist on labels, to most non-muso people it sits somewhere in the electronica/electronic/techno/ambient/downtempo scene, but labels bother me personally not at all.
This is music to relax to, and perhaps to stimulate the grey cells when time and opportunity allow - it's actually marmite music - you'll probably love it or hate it. Find some online and check it out.
Like this - I can't beleive you won't love "This Mortal Coil" - just a little earlier vintage than this.