I had exactly the same symptoms as you describe on my 2007(ish) Mirage shifters (on original cables, inner and outer). I’ve just completely recabled my Mirage shifters – nice new Campy inners and outers. Shifts nice and smooth now.
Might be worth checking whether you’re using Ergopower (8/9spd) or Ultrashift (10/11spd) cables – I think the ultrashift cables are slightly smaller diameter?
If you’ve only recabled the inners, I’d start with replacing the outers before you go mucking around with shifters or mechs.
And some GT85 or similar wouldn’t go amiss on any stuck screws in the rear mech. Had a similar situation with my 2007 Veloce rear mech(seized screws from manky year-round commuting, now moving freely again).