I'm not sure if bubbling freezes your enemies or if it's just an effect of being poofed. When Pearl was poofed she was never bubbled and was just left out to sit and reform. When she woke up she didn't seem to be aware of what had happened around her. I believe Lapis was the exception due to the mirror. It needed to use her memories, and she most likely had to be conscious for that. The mirror kept her away and unable to reform. When Steven was bubbled he didn't go under and was able to break free on his own.