He is. And correctly so, HT.
By definition, the public service includes both the civil service and the uniformed services, such as the military and police. We all serve the public.
It is just an unfortunate fact of life that, in Canada, the Unions of civil servants have decided to brand themselves as "public" servants, and as result the creeping terminology in general use went that way over time, losing the distinction that ought to rightly exist.
But yes, we, uniformed people are here to serve the public, and thus, are public servants - I would almost say in the "noblest" sense, but that would be arrogant, wouldn't-it? ;D.