"All these 'thank you's and 'please's are annoyingly adding to the verbosity of the bug reports!" said no small-scale open source software maintainer, ever.
I don't really know if it effects me in a major way, but if it even effects me at all, it probably would make me less likely to want to fix a bug.
This was in person and in a single company, so is a bit different from issues raised by a stranger over the internet in a bug tracker.
Personally, if I don't know the person I say/write "thanks" because I mean it, especially if it's an open source project.
People are wonderfully complex :)