A regular One Day Pass used to be valid for the whole day.
Then DL started selling One-Visit Passes on Groupon that were only for one visit only. Because DL advertised them as a savings off the One Day Pass, a lot of people claimed it was false advertising as the two were actually very different.
It seems that in response, DL has made ALL one-day passes valid for only one-visit now. Yet another downgrade.
http://www.delta.com/traveling_check...pass/index.jsp
So my long answer to your question is - technically only valid for one-visit according to the rules.