The bug is not damaging the roots. You didn't provide details or a photo that shows the repotting that you did initially, but that is probably where the problem started. Many folks tend to move plants into pots that are too large and that makes it very easy to inadvertently over water and cause the roots to rot. I don't know if that applies here, but it may.
Spider plants do best when moderately potbound and kept in a sunny window. When properly potted, they normally need water about once per week or more often.