Thery're GREAT if you have a card that reveals/turns-over your prize cards. Frees up alot of spots for more supporters or energy
As long as these aren't cards that you NEED RIGHT AWAY, then you're fine.
Remember, like Blaziken1111 sort of said, alot of times they're JUST IN CASE type of cards that show up in your hand often (you end up tossing them under the deck for BeBes or Cosmic Power). But, they do help if they serve some kind of purpose in your deck
If you don't think that certain card will ALWAYS hit the field, then I like your 1-1 ... if it's going to be needed ALOT, then do the ol' 2-2 to ensure that there's not prize card situation. Kinda why everyone runs 2-2 claydol instead of 1-1 claydol... nah mean?
Well if it's going to be late game, how important they are, if you play azelf LA to get them frrom your prizes what kind of support of set up do you have. I mean for example in plox a dusknoir tech is a good tech because between your own supporter telepass and claydol you can get a dusknoir out the turn you need it.
Azelf LA flips and swaps your prizes. So, I don't see where you'd be concerned AT ALL about your 1-1 being in the prizes. If anything, you'd WANT them to be in the prizes!!!