Told my manager about a coworker gossiping about me and this is what he said

Some things he said: •he called it a misunderstanding because this coworker had a sibling who was bullied at a previous job •said it doesn’t what people say or think about me, what matters is what he and the other managers think of me •said it was a generational thing (since the gossiping coworker is 20 and I’m in my 30s) •he talked about setting boundaries and forming work relationships, which is valid except when the coworker watches your every move and eavesdrops constantly (we work in customer service) Are any of these points (besides the boundaries) valid?