An immersion blender like the Vitamix heats as it blends because of high friction, on high settings. I make soup with mine.
https://www.vitamix.com/us/en_us/what-you-can-make/hot-soups
https://www.vitamix.com/us/en_us/what-you-can-make/hot-soups
https://www.seriouseats.com/best-immersion-blenders
Wand blender don't make things hot enough to cook, so OP is indeed using raw eggs in their ice cream. Which is probably fine, it just means their ice cream isn't using a cooked custard base.