No, it doesn't, the efflux is too far aft, depending on specific design. It's controllable in sim profiles on the Challenger and Global types bug more yaw that simple engine failure. I can't say as to the fidelity of the aero data, however.
The tail-mounted designs usually have a T-tail, so above the efflux. The Falcons with cruciform tail design only use a reverser on the center engine. Whether that is related to uncommanded deployment I cannot say.
In the C-5, it was inboards only for in-flight use. Effective, but I wouldn't use them below 10,000' so as not to get caught with a hung up reverser.