The term "hydrogen bomb" has been used to describe thermonuclear bombs more or less since they were invented. Given that background, it makes no sense to me to insist that a "proper hydrogen bomb" would refer to a pure fusion design, especially since nobody has ever come anywhere close to figuring out how to build such a thing.
Re:A Hydrogen Bomb by any other name
by robotresearcher on Tuesday January 12, 2016 @07:12AM
(#10886925)
> A proper hydrogen bomb would be purely fusion.
But a fission device is used to get the fusion reaction going in all practical designs, I think.
The fine article describes the design of the US's actual hydrogen bombs as follows - I don't know if you'd count them as 'proper':
> So there are really three stages of nuclear reaction in such a bomb: the primary (fission), the secondary’s internal fuel (fusion), and the secondary’s casing (more fission).
A proper hydrogen bomb would be purely fusion.