Better in what way? A custom barrel would probably be more accurate, but what degree of accuracy are you expecting?
IBI = International Barrels Inc. in BC. Their stainless rimfire prefits start at $750, go to $1350 plus tax and delivery. No idea if they would duplicate the contours of a Lee Enfield barrel. The barrel would then need to be installed, indexed and headspaced, etc.
What would a No. 4 barrel with poor bore cost? $40? Liner is about $100. The barrel has to be adapted for rimfire by installing a chamber piece to bring the barrel face back to the bolt face. Liner drill run through, liner bonded in. Extractor groove and chamber cut. Bayonet lugs turned off muzzle unless you want a No. 9 clone. Couple of hours work, say $150. $300 installed and ready to shoot.
JC Custom in Bouctouche Bay NB has a barrel contouring lathe which could copy a Lee Enfield barrel, but I don't think he makes .22RF barrels.