I believe they should change it so when you actually drink a invisibility potion, bubbles don't go around you. They did this for the PC version. I'm hoping they will do the same to consoles.
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"the old declare war, but the young have to fight" -unknown
They didnt remove the bubbles (particles) from the PC edition of minecraft. You might have particles turned off in the options menu so u can't see them.
Invisibility Potions Are Not Really Invisible