Science is built on the principle of repeatable experiments: at least in the hard sciences one can repeat any of its experiments and verify the results for oneself. (In the 'softer' sciences like geology, however, it may be a little harder to reproduce results requiring millions of years!)
But suppose one actually wanted to take Science up on its claims of repeatability. An extended amount of study and preparation would be necessary first: one would have to learn the requisite mathematics, then the relevant scientific theories, and then how to use a physics lab. All of that requires one to at least tentatively accept its premises on its own terms, just to understand its frame of reference well enough to fairly assess its claims.
Might not the same be true of Spirituality? I would assert that to experience God one needs to study Scripture, and meditate and pray, and undertake the inner work of ridding oneself of greed and anger and hubris ("blessed are the pure in heart for they shall see God"). THEN one is in a position to fairly consider the question of whether there is a God and if She can be experienced. Just like Science, after extended study and effort one must tentatively accept its premises on its own terms just to understand its frame of reference well enough to fairly assess its claims.
To dismiss Science without troubling oneself to study its prerequisites would be intellectually dishonest to say the least.
So, how is dismissing Spirituality without troubling to equally study its prerequisites any different? If one wants to dismiss Spirituality out of hand, that is one's prerogative. But let's not kid ourselves that such a dismissal is from any intellectual high ground.