Christopher Parkening recommends silk wraps so there can't be too much of a problem if you do it right. Do you have the glue on thick? A thin layer of glue results in a much more durable repair than something thicker. That's also got to allow for more smoothness: no craggly glue edges near the tip.
P.S. Oh my gosh. Over $24.00 for a Savarez nail kit that lasts how long? A few minutes? Get Swiss Silk from strings by mail or elsewhere and you will have enough silk to last for decades. Buy you own thin brush on nail glue, and its all for under 50 cents (times 20 = less than 10 bucks).