The reason people would “lose” healthcare coverage (liberals' terminology) with the new healthcare plan is that having health insurance will no longer be forced on people, as was the “we have to pass it to see what's in it” Obamacare (aka Frankencare). With Republicans, Americans will have a CHOICE for once... how American.
So while I have reservations (and doubts and questions still) about the new healthcare bill, I am behind the Republicans on the choice aspect of it (except that maybe coverage should be mandatory for older people? I don’t know).
The Democrats only care about “choice” when it results in a dead baby.