When breezes jump, they can perform a high jump on top of honey blocks.
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The issue is triaged by Mojang, so no.

@Jon1337
I agree. I think Mojang wants this mob to levitate. Sort of like the Blaze mob. Here are some screenshots of the blaze. I know I am using a modded client, but the results are the same as vanilla!
[media]
Again; the issue is traiged by Mojang, meaning that the current behavior is considered a bug and will be fixed. There's no need to agree on the current behavior making sense.
Wouldn't this make sense considering it's technically floating and also seemingly made of air?