Does the VMX mode provide a Virtualisation Systems Architect with the capability to detect previously non-trappable sensitive instructions?
I'd say yes. According to pages 13 through 17 of this Virtualization and Virtual Machines presentation, hardware virtualization seems to be an attempt to solve that problem.
The pdf @prl posted also says on slide 45:
if a guest kernel runs a sensitive instruction, hardware does a 'VM exit' back to the VMM, indicates which instruction trapped