I see your link, and raise you a link to an actual CBO report. We all know that anything trump says is pretty likely to be either hyperbole or outright lies.
"Effects on Health Insurance Coverage According to CBO and JCT’s estimates, in 2018, 15 million more people would be uninsured under this legislation than under current law. The increase in the number of uninsured people relative to the number under current law would reach 19 million in 2020 and 22 million in 2026. In 2026, an estimated 82 percent of all U.S. residents under age 65 would be insured, compared with 90 percent under current law."
So, I guess that's how "premiums would go down", eh? Just don't have access to insurance and premiums go down. Great concept!
https://www.cbo.gov/publication/52941