A higher conversion rate can leave the practice worse off
Rate treats every signed file as identical, and in immigration work they are nothing alike.
Conversion rate rises fastest when a firm stops declining. Say yes more often and the number on the dashboard improves while the paralegal hours, the deadline exposure and the collection problems all get worse.
Track signed files by case type, by fee collected, and by a rough estimate of staff hours. Once those three sit side by side, most firms find one or two case types that subsidize everything else and one that consumes a year of somebody's attention.
Set the goal as mix, not volume: more of the work you do well, fewer of the files that arrive underfunded and stay open. Sometimes the improvement is declining faster and more politely.
Declining well is its own conversion skill. A same day referral out, with a name attached, produces goodwill and returning referrals in a way a slow no never does.