[Kevin Leonard]

It's not about playing to win just for your team. It's about your team, your sponsors, your pride, but most of all- it's about your alliance partners. If you play half-heartedly or completely throw a match, you're hurting your alliance partners who want to win to improve their position, seeding, and to prove their robot's abilities.
In your story, your alliance partner wanted you to play to win- not doing so would be a disservice to them.

If both your partners agreed that losing the match was the best course of action for all three teams- then I suppose this might not apply.