Credentials of the referee

Basically, in all the letters of recommendation, my referees started with 3 lines paragraph about themselves along with a link to their Linkedin profile. Is it sufficient as a credential or they must add their CVs?

Does it apply to recommendation letters in evidence documents?

My referees Linkedin profiles are like 4 pages, adding them to the Letter of recommendation will make it like 6 pages

My idea is that, if you didn’t know that person and they referred someone to you, would you be convinced that I should listen to this person’s recommendation based on the description you read about them? Or would you need some more concrete examples of achievements to convince you that the one who is referring is someone you should listen to.

(I even added TED talk links of a person who wrote my recommendation)