"More efficient" yes, "faster" debatable.
I use r2 D2 r U2 r' D2 r U2 r (9 moves), but that's for M-slice edge pairing. The E-slice version is not very good.
You should also be able to avoid this case most of the time if you pay more attention to edge cycles (e.g. you might choose to insert the previous edge flipped to force a 3-cycle finish rather than a 2-cycle finish). I'm not very good at this, but supposedly a few fast people do this instinctively.
I use r2 D2 r U2 r' D2 r U2 r (9 moves), but that's for M-slice edge pairing. The E-slice version is not very good.
You should also be able to avoid this case most of the time if you pay more attention to edge cycles (e.g. you might choose to insert the previous edge flipped to force a 3-cycle finish rather than a 2-cycle finish). I'm not very good at this, but supposedly a few fast people do this instinctively.