Camilla at the start isn't really necessary since all newbies get Iris now. By the time Camilla is necessary, a player should have several healers leveled by then.
Nanaly is obviously on her own tier, and again, newbies get Bashira instead of Kerry now, so it's still a non-issue.
The only other units a newbie should prioritize at the start are soldiers, witches, heavies, and a duelist like a princess. A better witch than Cloris (Yuyu/Adele) or a better heavy than Leanne (Bernice) is great to have. A soldier that can come out cheaper than Katie is amazing.
Really, the only objectively better units you can pull out of premium at the start are either black units or princesses. And maybe girls like Hina.
You want to talk unlucky? Getting Cypria in premium twice, or getting Dahlia when you have better duelists.