dd,
Rav Moshe specifically conditioned his kula on, quote, “when there is no other place available”. And that is for anyone, even if he thinks he has no improper motives.
Additionally, he did not characterize, as you did, that a man having lustful thoughts is a “psychological problem”. If that were the case most men in the world would be needing constant psychotherapy. That is a normal male thing, not a “psychological problem”. Rav Moshe, in he aforementioned teshuva tells how to deal with it.