Hi and welcome
I have to say that the local/remote terminology isn't entirely clear from those figures, but in any case I don't think it's relevant to your problem with actual download speed. If I understand you correctly, you're on a fixed-speed service of 6 Mbps downstream and 1 Mbps upstream. The attenuation is so low that you achieve these speeds very easily, with only very low transmit powers being used.
So the actual download speed is not being limited by your ADSL connection at all. The problem is likely to be elsewhere in the network. It could be that your ISP has capacity limitations which result in a general slowing down for its subscribers, or the network behind the ISP is overloaded. In either case, there wouldn't be anything you can do to improve your speeds - you would need to talk to your ISP.
The only other thing I can think of is the possibility that your PC's MTU value needs to be tweaked. On some networks a wrong (i.e. too high) value can have serious impact on speeds. There's some advice on MTU settings
here.