This is definitely not True, the US system bent over backwards to hide Amraams missing SU30mki/ Mig 21 Bison and Mig 21 Bison shooting down a F16. F16's will fly only over Ukraine controlled territory, so F16's shotdown can be hidden.
Supply of F16 does a few things for the US.
1. Get rid surplus old F16s from the market. So only new F16's are sold to countries lower budget
2. Ukraine is running out of Soviet era fighters, and US is not able to supply any more, Azerbhaijan, Eastern Europe have given all thier former Soviet aircraft.Europe is emptying it's limited stock of Taurus, Storm Shadow, Scalp etc. So it mean that the Eurofighter fleet will become less important. So UK, Germany and Western Europe will start using F35s with high maintenance costs and munitions
3. Due to all.this apart from probably France. Western Europe MIC will wind down. Eurofighters will also retiring early. USA will have captive markets and lesser competition in the next 2 decades.