In this context, a "real man" is probably someone who conforms to the traditional role of a male (physically strong, emotionally restrained, a provider and protector of women, children, and weaker men, etc.).

Of course, "real men" can be just the opposite, depending on who you ask. So, it's really a subjective issue.

I don't think every man should be like that, but I also don't think any of those qualities are bad. In fact, I think they're pretty admirable.

Do you have issues with the fact that some men conform to that type?

Being physically strong is a good thing, and regular resistance training is a huge gap for overall health for quite a lot of people today - men and women.

Being able to provide for someone is an admirable quality, man or woman

Same for being able to protect someone.

I don't think being emotionally restrained is a good thing - and I say this as someone who was raised to be emotionally restrained. I've had to specifically work as an adult to be less emotionally restrained. I think there's a very wide gap between being emotionally restrained and letting emotions rule over you.