Don't suggest live template while already executing one

It's a bit annoying sometimes that while I am filling the variables of a live template, I get an auto-complete suggestion for another live template, I press tab to go to the next variable but instead it triggers the live template suggestion, messing up my current live template execution (cannot use cmd+z to undo and keep filling the template, because it is completely canceled).

I guess that during the execution of one live template it makes little sense to execute another one. Perhaps live templates can be omitted from auto-complete suggestions while filling the params of a live template?