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I am going to ask these questions out of curiosity. First question, why are there boards where the signatures cannot be displayed or aren't visible on the forum? Second question is why do campaign managers exclude certain boards for posting and others where posting is allowed?
Both of these questions are kinda pointless, and you can easily figure out the answers using logic.
In certain boards, signatures are intentionally hidden to minimize spam and promote higher-quality discussions, hence the name "Serious discussion" board. In such cases, it can be logically deduced that managers will not include those posts in the weekly quota.
The answer to your second question varies depending on the manager. Each campaign manager has the freedom to set their own rules for the campaign, either based on their preferences or client requests. That is why you might come across some campaigns that require a specific number of posts in the Gambling section, for example. It all depends on the individual manager's decisions and requirements.