Jesus' invitation in Matthew 11:28 — "Come unto me, all ye that labour and are heavy laden" — uses two Greek words that are worth noticing. The first, kopiao, means to labor to the point of exhaustion. The second, phortizo, means to be loaded down with a burden. This is not a verse about mild tiredness. It is addressed to people who are running on empty. The rest Jesus promises is not a nap — it is the rest of yoke-sharing, where his strength supplements what you cannot produce on your own.
Elijah's collapse after his greatest prophetic victory (1 Kings 19) is the most honest portrait of ministry burnout in Scripture. He had just called down fire from heaven and killed 450 prophets, and then he ran from one woman's threat and asked God to let him die. God's response is instructive: no rebuke, no sermon, no theology. An angel touched him twice. "Arise and eat." Sleep. Eat again. Rest. The body was addressed before the mission was addressed. God is not impatient with exhausted people.
Commentary is from a charismatic Protestant perspective, drawing on KJV text and public-domain sources including Spurgeon, Andrew Murray, and Matthew Henry.