Do you think any men's barbers will be open in central London due to the Coronavirus?

I doubt it. The government just ordered all barbershops to close and remained closed.

It isn't about London, It is about all over the world. no shop, no market, no supper shores, no malls. All are lockdown. 

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They aren’t open in America so probably not 

No. I don't think its essential either do you?

Is London on lock down and Londoners ordered to stay home. If so, I really doubt it. In the U.S. there are no barber shops or hair design centers that are open.

No. There are no barbershops anywhere that will be open due to the coronavirus. Many of them might be closed due to the coronavirus, but none of them will be open because of it.