infinite arrows with effect (infinity enchantment works with potion tipped arrows)

if you have a bow enchanted with Infinity, and tipped arrows, using the bow will still fire the tipped arrows, but will not consume them. The arrows cannot be picked up, as is normal with the Infinity enchantment, but they do have the potion effect.

On one hand, this works exactly as one might expect, with a naive understanding of the enchantment. However, given the prior restrictions on the infinity enchantment, it's unexpectedly powerful. Past behavior would suggest either that the Infinity bow would only fire normal arrows, or that it would still consume tipped arrows, and only fire normal arrows for free.