Websites Tags appearing in search result – Good or Bad?

Hi, I came across a situation with one of my website that is built with wordpress. I recently checked that many tags in the website are in ranking. Many tags have been ranked more and high than then posts and pages. While it is a good thing but I was told by some fellow seo professional that having more tags and not the posts in ranking, is not ideal for a website.

Do you also believe so? If yes then why? Please share your insights on this.