Some people seem to think that a slow connection, or part time connection is
more secure. But it's not. Dial-up users get eaten alive by malware all the
time. The "safer" thing is a total urban myth.
(Take it from a guy who has pulled tons of malware of computers on dial-up
connections. Many of which, I might add, had a mountain of Norton/Symantec
security crap piled onto them. Not only did it not block the stuff, it
couldn't get rid of the stuff after it let it through).