Many do, yes, because by the time they visit, they know enough about the spirituality and the way of life. I’d keep on looking, but don’t be surprised.
I visited the Dominicans in Summit, New Jersey, in January, and didn’t think they’d be “it” – I visited because the monastery is close to NYC, and while yes, I was drawn to the perpetual adoration and perpetual Rosary, I imagined myself in a slightly more radical community (i.e., Carmelites or Trappestines).
Turns out, I’m pretty sure this is it. I’m at the monastery now, finishing up another weekend visit, which pretty much settled the question of aspirancy for me. I hope to come back for a more extended stay in either May or August, and if things continue, and God so wills it, I’ll be a Dominican postulant by next year.
Keep on praying! And don’t think about whether or not you’ll enter when you go because you’ll know – either right away, or when you go back, but God will not desert you in your search. Trust in Him wholly.