What's wrong with PHPMyAdmin? I've used it before and it works well (although it should be noted that the timeout limit is set in PHP's ini, which should be password protected).
The Adminer website lists some deficiencies of PHPMyAdmin, but Adminer also has some, of course.
But I did not even mean to discuss differences between those two. To my knowledge, Adminer consists of a single file (or can do), and thus installation is simple. Which can be convenient if you are in a situation where you are not able to upload files, but can ask someone else to do so for you. Or when you can upload files but your uploads will need to be reviewed.
However, if there already is a PHPMyadmin installation in place other than the CPanel one (which requires authenticating as a CPanel user to access it), then this will be irrelevant.