TWF,
You've not shared just how much backlash that you now have.
To be honest this "With the old feedscrews they were lovely and smooth in action, they just had noticeable slip backwards and forwards". just says knackered.
As someone who has just changed the 1/2" x 10tpi LH cross-slide screw on my lathe (Rockwell Delta 10"
by getting a length of Acme rod of Ebay from a nice man in Wales who makes leadscrew nuts. I've now gone from 50 thou lash to 10 thou. All I did was turn a tenon on the new screw, hacksaw the old thread off and drill what's left and Loctite the two together.
It seemed quite stiff holding both nut and screw and turning them, when fitted it seemed much looser, but given what I did is asking for a screw wobble, but there is no tight and loose.
Have you tried rolling the screw on a granite tile or glass plate to see if it wobbles?
You no doubt have Gib wear in the middle so each end may now feel stiffer.
Compare old nut with new.