It won't improve accuracy, faster fix is a fix for poorly implemented Assisted GPS.
A-GPS works by sending the current rough location (eg cell tower) to a central server (this is what faster fix, fixes - it sends it to a closer one) which will then send back a special set of data known as the GPS almanac which contains things like which satellites should be overhead, timing, stuff that it needs in order to calculate triangulation quicker. If it didn't send this data it could calculate it's position without it, but it takes around 10 minutes this way.
When you see issues like you're on a nearby motorway rather than the road near it, it's because the GPS receiver can only be accurate to X metres due to the quality of signal it's receiving. The quality depends on the phones antenna position, if it can see the sky directly etc...If you have an SGS1 for example you're lucky to get anything accurate over nearest 100M but other phones can be down to 10M or so.