What employers and customers want are skills. They want to know you are capable and competent. Can you get the job done and in a meaningful way? Do you have a high standard for excellence? Do you serve well? Are you passionate? Do you deliver value? They won’t care much where or how those skills were acquired. Be it in formal training or over a very long career.
But you’re going to have to deliver. And the better your track record of delivering, the more you’ll be worth.
One more thought- is it better to be a specialist or a generalist? I hear that a lot, but the answer is actually dependent on a very different question; who do you want to work for? Large companies, where resources abound, will want specialists. Their economy of scale makes it possible for them to pay a lot for a narrow task and they will want the best of that breed. But if you’re sights are set on smaller organizations, go general. The more you can do, the bigger your value to a company that has limited resources and needs more “bang for the buck.” That can help you find your place in this job market as well.