Buccaneers against US carrier groups

Did British, French, and US carrier strike forces test themselves against one another in exercises?

Yes; examples from the 1960s and 1970s showed Buccaneers causing particular trouble by flying too low for easy radar locks.

Several exercises from the 1960s and 1970s tested allied carrier forces against one another. The Buccaneer's very-low-level attack profile exploited radar geometry rather than raw speed alone. US naval aviators found the aircraft difficult to lock because it stayed so close to the surface, making the British strike profile an especially troublesome exercise opponent. A later exchange distinguishes detection from engagement: modern airborne radar should be able to track such a target, but turning that track into a successful intercept remains the harder question.