There are Moderates in the world and there are Right Wing Extremists.
There are Mainstream Thinkers and there are Right Wing Extremists.
There are people with a Right Wing political stance and there are people who support the Welfare State.
The “opinion makers” do not want to use the term “Left wing” because it is off-putting. And, of course, this is precisely why they enjoy using the term “Right wing” so much. It is intended to be a turn-off.
I just look at it as “Right wing” versus “Wrong wing”...