With the Alt-click attack they keep using their spears/lances until the charge bonus runs out and then swap to secondaries.
The RTW AI incidentally AFAIK doesn't know how to use its secondaries, which occasinally gets armoured elite cavalry slaughtered by no-armour high-skill light cav with AP weapons for the simple reason lances suck in prolonged melee against such troops... And many such cav have like 4-6 base attack with their lances and 10+ with their secondaries, the latter being obviously by far better for hacking aparts "lights"...
*sigh*
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