Yes, for some reason it does affect my opinion on them, specially the newly acquainted ones but not to those I've been going out for sometime.
Not only the ringtone itself but the volume of the tone. I usually keep my phone in a silent mode and just turn on the vibrator just to keep me alert on calls and messages.
I hate people who turn the tones of their phones on the loudest mode that everyone can hear it! Annoying!
