Not all donations are begging. If someone wants to send you or me money as a donation then they can go to our profiles and do so. You can donate to anyone you want. What you can't do is create a thread to try solicit donations. If a thread contains a sob story and address urging others to donate then I'd say yes, that clarifies as a begging thread.
I never before saw moderators contacted someone to remove Bitcoin address from their topic, and this should not be done selectively like you are doing.
One more thread that comes to my mind was controversial
Bitcointalk Charity topic, with three forum members being involved in abusing collected donations.
That topic was allowed t exists for months, and it's interesting that yahoo was one of the people who first talked about that issue, so I don't see him as beggar:
https://bitcointalk.org/index.php?topic=5376475.0You can't really say I'm not asking for donations then literally ask for donations both in the thread and directing people to your profile. Whilst some people will or would have genuine reasons for asking for money and it may seem harsh not allowing them in certain instances I think a blanket ban on them is wise unless we're going to scrap the rule completely or open up some sort of donation board which I think would just be a messy nightmare.
I will repeat again, there was no bitcoin addresses when thread was created, he added it later after other members asked for that.
I don't know what I would do in similar situation, but fact is that most members supported yahoo and gave him bunch of merits.
Last time I checked he didn't receive that much Bitcoin at all, fake Bruno scammer and Bitcointalk Charity trio received much much more.
PS
Your last quote was wrong, I didn't say that it was post from Halab:
If you want to talk about your health problems... why not. If people are touched by your story, they will contact you by PM to ask you for an address to make a donation. That's all you can hope. Because if we open this Pandora's box, there will be abuse.