How would I know?
The timing seems coincidental, yes, but assuming he's telling the truth, I don't see what's strange about it - perhaps this is the hour people tend to arrive home from the bars.
What's strange about it is that a week after her reported disappearance that he hadn't given his account to police. Might it not be a good idea to check with someone who is telling the world that they were in LS's last verified location within minutes of her? Not saying he was involved at all, but it seems like getting his account on record might be in their best interest.