I have heard that also. I can dry you up also though, that is what tons of my friends used to finally dry them up.
I used to put a bag of frozen beans on mine when they were engorged.
Sophie: I only breastfeed for about 1 month with Tyler. Well he never took to the breast, so I pumped. I was so engorged at one point and my breast were really red and swollen. Pumping very very often helped SO much. I had to do that anyhow to keep up my supply, but within about 3 days of pumping in my case every hour (in your case just in between feeds) did help a huge amount with being engorged.