It's like conbini keigo; not really grammatically correct but not necessarily polite. It can be heard almost anywhere that has a line waiting to be helped.
I'd see that as two separate sentences that just got run together as the person serving is really busy and trying to get through things fast like a production line. The general impression being:
"Can I help?" [standard 'meaningless' greeting to the customer but rattled off because it is allegedly 'polite'] + "Who's next?" [who is next in line?]
That is how I would interpret it, rather as "Can I help [the person] who's next?"
This is a great example of how people are comfortable ignoring proper grammar. Your example is no more correct and no more polite than nekocat's, though I'm sure people still use it thinking just that.
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