I've been switching between 2 and 4 spaces through my whole programming career. Even now I'm switching daily between different languages and projects with different amount of indentation. And I for one have noticed no correlation between bugs and amount of indentation. But I might be wrong - I have done no actual measurements.
What I can say though, is that there is a correlation between a lousily indented code and bugs. Consistency is the key in indentation. Reading non-consistently indented code, that's what drives you insane... but two instead of four spaces... hardly.