Would more interwar sloops have allowed a better design than the Flower class, which was just a converted fishing trawler?
Short answerThe Flowers were designed warships, not converted fishing vessels: the navy defined the escort fit, then placed it on a merchant-derived hull that commercial yards could build quickly.
NotesThe answer distinguishes design ancestry from literal conversion. Experience with sloops helped determine the weapons and equipment required in an escort, while a merchant-type hull and commercial construction standards enabled rapid production outside specialist warship yards. More prewar sloops might have reduced the emergency pressure, but Flower-class corvettes would still have been useful as mass-produced force multipliers.