Despite Republican inflexibility Obamacare is actually an intelligently designed system, that could use some amendments to improve it and fix some of the issues. Republican claims that they could do much better even while slashing funding was always nonsense. 

Trumpcare is an incompetent piece of legislation; necessarily so because of the constraints of Republican Party ideology. As for the  $337 billion saving on the budget deficit, that's around $30 billion a year in a $19 trillion economy.  That's .16%, just about meaningless.