Running on your toes may be a good idea if you want to improve your ability to run on toes, or perhaps other activities (jumping rope) which involve similar movements and muscle groups.
Is running on toes better no matter what, and better than regular running to improve your (regular) running speed, endurance, health, and so on? No, obviously not. Running on toes is an unnatural kind of movement and less efficient than regular running, so it only makes sense if you specifically want to train yourself for that kind of movement in particular.
Before asking whether something is "better" it's important to explain what your goal is. If your goal is to get strong calf muscles, and not superior fitness, endurance, running speed, cardiovascular health, running economy, and so on, then the answer may be "yes", but this would be a highly specific goal as not many activities would benefit from disproportionately strong calf muscles..