No reason carpet tiles won't work except when they are in an area where a slide slides over them
IN those areas if a corner comes a bit loose then when you slide in or out it can catch, and bind and really mess things up (likely no damage, and quite likely it will just roll out) but if it jams it can interfer with the seal and cause leaks.
But on the moving part of the floor, or in areas where there is no slide, I see no problems