Even with little training I would imagine spider-like reflexes would at least equal Hawkeye.
Also, injured Black Widow handily beats possessed Hawkeye in the first Avengers. Pretty sure putting in blue contacts didn't negate his abilities, and I don't think she got lazy and started stuffing her face with Krispy Kremes after Ultron.
Dunno, just my reactions to a fan list.
EDIT: There we go, Kelimbror fixed the list.