<p>You should apply to all nomination sources that are available to you. They are not weighted differently, but the more nominations you apply for, the more candidate pools you are able to compete in.<br>
I’m not sure which service connected nomination you received - but most categories are competitive. I believe the top 100 presidential candidates receive appointments. If you are not in the top 100, it is to your advantage to have applied to other sources for a nomination, as it increases your chance of receiving an appointment. However, if you receive an LOA, this is not necessary. LOA recipients only need to receive a nomination and do not need to compete to win within that pool of applicants.
Good luck!</p>