Oh definately. Dude, once you get in a jet, you're like "Phew.. i made it!"
Then, while you're sitting through training and endless hours on reserve, you start to wonder.. hmm, was there a better company out I could have interiewed with where I wouldn't have to deal with so much bullsh*t?
This doesn't necessarily mean ASA vs. Eagle.. but jumping at your first option isn't always the smartest. Evaluate the pros and cons of each airline.. cause once you get in the seniority line you're committing yourself.