Saturn profile? As I recall this was max power acceleration and climbing turn from low level to 25K plus then further acceleration for a subsonic high flyer up to 48K.
A Concorde intercept would be more likely a front quarter Red Top attack at M1.5, thus the setup could be quite difficult with a closure rate of M3.5 ?? Then there was Coriolis !!!
AFAIR Red Top was not released for QRA use for some time after the squadrons were re-equipped; any reason why – excluding missile fin problems.