You will have to judge for yourself the credibility of the statement, but here are my thoughts.
1st. Since you don't know the identity of the man, then you don't know if there are any descendants or other close relatives that may have tested. There appears to be a claim that DNA testing has been able to narrow down the identity of the man and also the identity of the person who made the statement.
2nd. 23andme was the first company to provide DNA tools useful for Genealogy. DNA information is treated like medical information or maybe a birth certificate. Generally speaking, you are given an opportunity to release some or most of the information DNA provides to an individual or those determined to be biologically related to you. You can make your DNA results public but the process is intentionally made more difficult.
Generally speaking, when there is a secret that involves a pregnancy, in my experience, there is almost always a reluctance to publicize to the world the details. The DNA researcher may have discovered a rape, infidelity, incest, or even some have discovered the father was a result of a sperm bank contribution.
I would just contact the Profile manager and ask for whatever details he is willing to share. Decide for yourself if he/she has convinced you.