Ok so you have inferred that IP data was used, and RM thinks Wylted posted a suicidal rant with potentially his real name.
Notes based on what has appears to be the case so far:
1) Someone posting their own information with the intention of it being public and someone else repeating it is not doxing.
2) IP information is potentially doxing, but that was not published, no mod asked anyone to find his IP or info, they just used it.
So given that would, Wylted have been banned if he personally used clues I dropped to call my local police department? I don't know, I think leaving clues is just an inherent risk of being online.
Think about it this way: if Wylted could use private information he obtained, but it would be doxing to give that information to other site members; then how could other site members get private information and share it with him? If others sharing it with him is doxing, then him asking to be given that information is a request to dox whether he used that word or not.
If there was the slightest hint that anybody, mod or not, would be sending police to your door if you said the wrong thing I think the same chilling effect would occur as proper doxing. *insert sponsered VPN segment here*
As for the justification for doxing as it were, RM said Wylted had a suicidal rant. Now did he say he wanted to commit suicide or was it just something people perceived as nihilistic and therefore it was assumed he was suicidal? What if they assumed he was nihilistic and then on top of that assumption assumed again he was suicidal?
Suppose he said "The purpose of life is not to climb mountains" and the mods assumed that since the only reason to live is to climb mountains Wylted must have no reason to live, and since he has no reason to live he must be suicidal. That would be the correct analog for this latest situation.