Thanks for that! I suffer from some severe anxiety (diagnosable so, even) and one of the most difficult things for me to accept is that it is irrational. Removing the source of anxiety just makes my mind find something else to be anxious about, for example.
I find it extremely uncomfortable to admit to myself that my own mind, my 'self', can actually be the source of self-sabotage. My rational side, irrationally, often 'solves' the problem by simply denying this fact and carrying on dysfunctionally.
What makes all this worse is people who in various ways encourage this denial, even if they mean well.
Thankfully, I have at least two people in my life, as well as my mother, strange as it feels to admit this as a grown man, that I can confide in, and whenever I take the courage to at least express the irrational fears in all their irrationality, they help me by, well, observations like yours. Somehow merely the acknowledgement that my irrational fears are legitimate despite their irrationality is a tremendous help in dealing with them. I'd encourage everyone to keep this in mind when dealing with people suffering from what I guess we'd call 'mental disorders'. You have no idea how much just acknowledgement can do for them/us, and it doesn't have to take much effort!