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I've received a response to 1 of the 4 GWs I've sent in the past month.
With the one that worked: I noticed a jump in my scores within 10 days of sending the letter and received a written response about 10 days after that.
I have received a response as soon as the following day when sending by fax. Other times I have got no response what so ever.
I have never dealt with chase, but I have had quite a bit of success with fax.
Maybe I'll give faxing a shot.