No that wouldn't work, but there are other ways to flush the system out .
I usually drain all I can out then use water keep filling and letting it run through . Some use special things to help flush it .
But whatever way flush it good then start over with HOAT .
I just did the radiator (MOPAR ) , hoses (NAPA), water pump ( NAPA ), thermostat and housing (MOPAR ) Hoat coolant ( NAPA ) etc last week.
Bought a VW Bug in Bellevue one time ( way back in 78 I think it was . Funny story , visiting my ( now ex and dead ) brother in law.
Leaving I said I'll give ya 75 bucks for that ( 1969 ) Bug . His wife yells "SOLD " . rear fenders / rear bumper were removed its 8:30 in the evening and I'm 150 miles from home. But told my wife to stay close on my butt and we took off !