Level Synch, Jobs & Cross-class Skills

[Nurvus]

I wonder if SE overlooked this, but when you are synched below level 30, you lose all the benefits of your Job, but are not granted all the benefits of your Class at that level - such as Cross-class skills.

A Lancer can use Raging Strikes and Straight Shot (Archer) as cross-class skills.
A Dragoon cannot.

So when I'm synched to level 29, for example, I'm actually weaker than I was at level 29, because I can't use some of the skills I did at that level, including Raging Strikes or Straight Shot.

If I am synched to level X, I should be able to use the skills I had access to at level X, including cross-class skills.
Isn't this a no-brainer?
Or am I missing something important?