You know, I was reading the Champions ability as being the same as the 3e Improved critical, but it's not.
In 3e Improved Critical doubled your threat range, which is the area in which you
may score a critical, if you hit and then confirm.
In 5e there is no confirming. Furthermore the language of the Champions ability is that he scores a critical hit. Not that he deals critical damage if he hits.
I think the OP is right, it's pretty unambiguous. If you take off the prior edition glasses the champion hits and crits on a 19 and eventually an 18. Cool.