Door number 1: It’s a silly superstition; let the real sick people get anointed. Otherwise, don’t bother.
Door number 2: It’s a good tradition. Let’s do it at all the Sunday Masses, too, so nobody feels left out.
Door number 3: Let’s do it after the Saturday Masses only, and only for the people who really want it.
Or perhaps you have a better door? If so, take the Big Chair and be a liturgy dictator on February 3rd.
Bay window #1: If you have a lot of people expecting a blessing, do you still stick with clergy only or do you permit lay people to use the spare candlesticks?