But due to what scook pointed out, at minimum, it would have to add something like "Clip name [bounced]." But then it's not the same name, which was the original request.
A bigger problem is determining what happens if you're bouncing clips with different names, which is extremely likely unless all the clips were derived from the same file and obtained by splitting a single clip. Sonar would have no way of knowing which clip you intended to use as the "master" name.
Think about it: if the Inspector is open, it's one Ctrl+C and Ctrl+V. If the Inspector isn't open, you simply need to type I. I think specifying what was wanted for your specific bounce situation would likely not be much simpler. You'd probably have to select the clip with the "master" name and somehow specify it's a name that should persist during the bounce operation. I think that when you totaled up the keystrokes to specify what you want for a unique bouncing situation, it wouldn't be much different from ctrl+c then ctrl+v and would probably involve mouse clicks as well.
One workaround is that if the clip should have the same name as the track, you can drag it to the desktop and drag it back in again. It will assume the project name and track name when you drag it to the desktop. But I still think ctrl+c and ctrl+v is easier.