Conwy council's level of staff sickness was questioned in a finance committee meeting.
The number of fit notes issued has been rising, with more than 11.2m approved in England last year.
Matt Skelt had promoted his pizza business on social media, sometimes on days when he had called in sick.
The average number of sick days per year stands at 10.73 despite the target being eight.
Warwickshire County Council staff miss 15,001 days of work due to stress and mental health in 2023-24.
NHS waiting lists must be urgently reduced so people can get back to work, the party argues.
The PM wants to strip GPs of power to issue sick notes but Labour says he has run out of ideas.
He also said long NHS waiting lists have locked people out of the workforce.
The council says it is working to cut rates through health initiatives and support.
