Pretty sure many in the middle class do the exact same thing. That's the whole idea behind mortgages, auto loans, etc -- to fund consumption on credit and pay the interest with income.
I think a lot of middle class people roll over their debt, too, no? Say buying a new car when the warranty expires on the old car. Or buying a new house every 10 years (US average).
But I don't feel like digging around SCF data, so this is just a hunch. Having said that, my hunch is that middle class households are much more indebted than wealthy households.