I'm no expert either, but Broadband will certainly speed up anything that utilises the internet.
The program, what ever it is, can only access information at the speed allowed by the connection.
There are some good deals around on Broadband currently. NTL are offering 60 day free trial on 150kbs access, but really you should look at faster access. NTL are also upgrading there next level access to 700kps which is good. It really depends on who services your area..
Basically, Broadband can only help if you are using the net..