Summary: Shifting your website's logo away from the top left corner impairs navigation efficiency, and may also reduce brand recall.
Right aligned logos doesn't make you unique
A left-aligned logo is comfortable for users, but because it’s such a longstanding tradition, this standard is a tempting target to anyone wanting to appear unconventional. Violating this convention seems like an easy way of immediately distinguishing a design from its competitors, and standing out from the crowd.
Placement definitely does matter, at least if you want users to actually remember your brand.
See this project for more visuals on logos.