I suppose the perfectionist in me just doesn't like having N different combinations of exercises saved. I do currently follow a similar model to what you describe when recording complexes in Strong, using the name to hold the rep data, it just feels like "Clean + Clean and Jerk" for "2+1" is nicer than "Clean + Clean + Clean and Jerk" or "Clean double + Clean and Jerk" etc.
It feels like using supersets for these would make tracking data over time difficult. eg given your clean clean jerk example, if one wants to track volume of a particular exercise it's not clear what the volume for each of those should be applied to, and it could get rather messy (is it 2x cleans + a jerk, or 1x clean + a clean and jerk?). Everyone probably has different preferences there, but my point is that native support for complexes would probably make stuff like this easier by providing a way to properly define/separate each component of the performance at data entry time.
I don't mean to only talk about things it doesn't support, though. I honestly think this looks great even without support for complexes (it's just long been the top of my wishlist for exercise tracking tools!) and am going to try it out next week!