Different battle hand sizes & player alternating

By kagura-san, in Sid Meier's Civilization: The Board Game

In battle, when some player runs out of unit cards due to different battle hand sizes, how does the combat continues? The manual says:

1] starting with the defender, then alternating back and forth, each player must play a unit ..

2] After both players have played all of their battle forces, the battle is over

kagura-san said:

In battle, when some player runs out of unit cards due to different battle hand sizes, how does the combat continues? The manual says:

1] starting with the defender, then alternating back and forth, each player must play a unit ..

2] After both players have played all of their battle forces, the battle is over

I believe that the player with the larger hand size is then allowed to play his/her remaining cards until he/she has played all of them.

It would be kind of silly if you couldn't...

"Sorry men, but the Chinese have run out of troops! The rest of you can pack up and go home!"

XD