Yes, but "will lose" does not quite evoke the same sense as "will have lost". It is hard to describe.
"Will lose" feels distant. The loss is away in the mists of the future.
"Will have lost" feels profound; poignant. For me, it carries the dread of a sure, painful loss. It is more visceral. A dread promise.
Grammatically, you can exchange these phrases. Poetically, you should not, for it would diminish the emotion.
In my opinion.
Student or Learner