The larger problem IMO is that lack of insurance does not mean lack of care. Health providers cannot deny care solely due an inability to pay. But for most people, having insurance is how they can afford to pay for their care. The AHCA is just setting up the health care industry for a financial crisis IMO. People who can't or won't buy insurance will still get care as needed, but in many if not most cases, they won't be able to pay for the care they get.
This is one of the major misconceptions people seem to have. That people can get health care in any ER and not be turned away....and assume it's health care as comprehensive and has as much continuity as an MD's office visit. ER visits are none of those.
As everyone else is mentioning, it happens every day. Sure, you may not get turfed out of an ER for showing up with something chronic that's not emergent, but you may end up staying untold amounts of time before you're seen as true "emergencies" jump ahead of you. And being seen doesn't equate to "health care"...you won't get renewals of any prescriptions for chronic conditions....you won't get chemo....you won't get a routine PT/PTT (bleeding time tests) to check on how effective/appropriate your current dosage of coumadin is...you won't get adjustments made to your insulin injections....and on and on. ER's do not provide health care.
And as others have said, only in ER's can one be seen without the ability to pay, but this doesn't mean an ER has to see one for a non-emergent problem. Show up at a private hospital with a complaint of something like high BP or the like and you'll get triaged to ensure you're not in a life threatening situation, then get turfed to the nearest public hospital.