How you handle intrusive thoughts is no different to handling any other thought you have, wanted or unwanted, good or bad, if you are going to get it anyway and you can’t change the fact they exist how does defining them otherwise in the context of understanding how to not let them affect you provide any benefit?
I would argue that my way of thinking must be correct for this task because I am obviously not afflicted in the same way by my thoughts that I feel I need to define the bad subconscious ones as ‘intrusive’. They haven’t intruded on my consciousness, my consciousness found them.
It’s a perspective that removes a significant amount of emotional power from ‘intrusive thoughts’.