I disagree.
A lack of feeling is also a kind of weakness - usually it’s due to long-term suppression of emotion and leaves you out of touch with your inner self. Bottled up emotions tend to be rather damaging in the long term. Plus, you don’t just lose out on the hurtful/bad emotions.
Acknowledging and overcoming negative feelings takes more strength than simply ignoring them.
Maybe. In my experience showing certain emotions as a man at all can be ridiculed or seen as weakness - which is what I was referring to in my comment.
Allowing yourself (as you say) to be overwhelmed by emotion can definitely leave you weak/physically vulnerable - but the weakness here is not the emotions themselves but rather the lack of control.