This doesn’t make sense to me-
When you say that you admire “spiritual” people, but not “religious” people, you are implying that people who are religious are not spiritual. If you say someone is “religious but not spiritual” you are really saying that they are practicing a religion without faith or devotion, and so that differentiation is impossible.
If they are going through the motions of a religious action, that doesn’t make them religious-it makes them tired.
I think that the role of spirituality in one’s sense of their own religious identity is underemphasized. A religious person must, by definition (see the Catholic Dictionary by Hardon) operate according to a defined spirituality.
To say someone is religious but not spiritual is to say that they fly the flag, march in parades, etc, but are not patriotic.
To say someone is spiritual but not religious is to say that they are patriotic, but they do not have a residence in or even citizenship in any country-effectively leaving their patriotism meaningless and empty.