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This is just my opinion, based on my experience.
1. They have a burning desire to play well and are wiling to put in time and effort.
2. They think of their improvement in terms of years and decades, rather than days, weeks or even months.
3. They understand that getting good at drumming will involve engaging with challenging material and are willing to persevere.
4. Their main focus is on skill building, rather than playing songs (although learning songs is of course part of the learning process).
5. They practice SLOWLY and their practice sessions usually won't sound "good" to the casual listener.
There are, of course, many more traits that great drum learners have, but this is what I came up with in the short time I had and could convey in one minute!