Agreed.The free gift of salvation cannot be earned. Otherwise, it is not a free gift.
And thus Free Will does not exist in regards to saving faith as Free Will would make the gift conditional on a WORK we must do. A conditional gift is a contradiction in terms and doing work to be saved contradicts scripture as we are not saved by works (Ephesians 2:8-9) and God says we can't boast in our salvation (Ephesians 2:8-9; Job 41:11;Isaiah 42:8b; 1 Corinthians 4:7; many more)
Aside: Liberterian Free Will would be possible given the premises above, but it has other issues.