No not real fussy, although they do tend to go for those out and about on their own, a particular problem if you are going it rough and need to find a quiet tree to do your business :P
We've gotta have something furry to freak the tourists out, otherwise they think we're all cuddling koalas and feeding kangaroos. Truth be told I'm way more likely to be bitten by the koalas at work than the burmese python and kangaroos are bloody scary on my lawn on a dark night!