I have never used your lens, but lens play can be different depending on the lens.
For example: my EF17-40 fits tighter than my EF 70-200 f/4. I am not that concerned about a little play and honestly I kinda love it when my tools have different characteristics
My 70-200 4.0L had a lot of play. My 100-400 has a little all my other lenses are pretty firm.