My Advice: In a nutshell, try D'addario EXP instead. Available in Phosphor (!) Bronze, and 80/20 Bronze (also Mandolin and Bass strings).
My Experience: The coating makes a BIG difference, and coated strings DO last me much longer than non-coated (easily 3 times longer; I play a lot). I suppose because the finger-sleaze doesn't clog up the windings causing uneven decay after the string is attacked. I've never tried boiling my strings to clean them up, but some of the old-timers (older than me!) swear by this practice.
I have tried the Elixir, both Nano and Polyweb, and experienced the dreaded shredded coating scenario previously mentioned. I have NEVER had this problem with the D'Addario EXP coated strings. Perhaps because D'Addario coats the wrap wire BEFORE winding it around the core...maybe Elixir doesn't do that, so bending the string snaps the coating after awhile.
My Opinion: D'Addario Acoustic Phosphor Bronze Guitar Strings are the finest strings available on the planet at any price. And now, they're COATED!!!
Over the last 35 years or so, I've tried countless types of strings, looking for "that sound" (this is, admittedly, a subjective quality), preferably at an affordable price. I've tried $3.00 Darco strings, ridiculously expensive Gold-plated strings, and everything in between, including Dr. Thomastik. Some years back, a bluegrass player I admired suggested I give the D'Addario a try (he used the 80/20 Bronze), and I was really impressed. Then they released the Phosphor Bronze, and I was ASTOUNDED at how good they sounded to my ears (warmer than the 80/20), and by how long they lasted (we're talking uncoated here - it was years ago). At one point, I had month old D'Addarios on a plywood Yamaha, and that guitar sounded better than my friend's Guild with 3 day old Martin Marquis strings. I wish I could recommend Martin strings, but they're just not as good as their guitars.
Anyway, when I saw that D'Addario had made a coated string, I was pretty excited, but wondered if they would shred like the Elixirs had, and more importantly, if the beautiful tone I had fallen in love with would be compromised. I am happy to report that the tone is REALLY still all there, and as I mentioned, no shredded coating to report.
I'm currently running the EXP-26's (gauges: 11-15-22-32-42-52) on my Martins, and the EXP-17's (gauges: 13-17-26-35-45-56) on my Resonators. Slightly heavier for the Resonators, as more slide tone is derived that way, and custom light on the Martins (top 3 strings a little lighter than their normal Light Gauge set), to improve bendability (is that even a word?). I order mine from Musician's Friend; currently $12/set. They also have the J-16 Light Gauge for $6.00/set, or $50/10 sets, which is a fabulous price, and even uncoated, the D'Addario Phosphor Bronze last a long, long time.
Anyway, that my 2 cents worth, and yes, I accept PayPal.
Get your slide and let's get it on!