How conservative the Japanese people really is? And the government?

Yaoi

They don’t have the so-called “couple culture” seen in many Western countries.

They don’t have the value that “guys must be macho.”

Geoff Keighley's Summer Game Fest Seems Unstoppable - Push Square

Moreover, buff guys are often avoided for their narcissism.

How do you see these below?

In the old era, gay relationships were very common and were even praised among the privileged social classes, such as Samurai and monks.

Why did my bipolar girlfriend split up with me?

I’ve heard it’s always the male side that is expected to take a move in some countries. It’s not the case in Japan.

We don’t instantly tie it with sex when a father and his very young daughter are taking a bath together.

They were very similar to the bromance of today but accompanied by sexual intercourse.

ESA’s new asteroid hunter opens its eye to the sky - European Space Agency

This is a very vague question. But considering the asker’s comment on Mr. Nakajima’s answer, your interest seems to be in sex-related matters (I don’t think it’s the only indicator of conservative/ progressive, though).

“None of my business” is the common attitude.

Visual-kei

There's a new blood test for Alzheimer's. Here's everything you need to know about it. - Live Science

They don’t bring around their mates everywhere, which means they don’t worry about being single, gay, or whatever because no one cares about whom others are having/ not having sex with.

They don’t tease or beat up cross-dressed people on the road.

It’s very common for a girl/ woman to ask a boy/ man to be her boyfriend.

Art of the Con – Trumps’ memecoin moves and what do they mean exactly? - AMBCrypto

I sometimes feel people from the West are obsessed with those “gender” and “sex” things too much. Let’s think about something else sometimes. It’s unhealthy.