Why would you need to make he use its fire lances?
This is his deck from the Wiki. He has 2 of each card listed.
The Towers, Unstable Gases, and Explosions will pretty much fly right out of his hand, so you don't have to worry about them "clogging up".
After one Eagle has been played, the other Eagles need Animate Weapon to show up to be played and vice-versa. So, the luck of the draw may mean there are several of one in the hand and none of the other, and the FGs are limited to 8 cards in a hand, just like everyone else.
Therefore, if several Eagles are in the hand plus the extra Buckler, plus the 4 Fire Lances, then he might only be able to play one card at a time or even have to discard. This means that he will only
draw one card a turn instead of two. If that happens too many times then the deck count will be higher than yours and you will be the one that decks out and not Octane.