Tipping increases leaf surface area and 'calms' the tree down. So, no, in the long run has the opposite effect. You did cut it back a ways, and it is spring, so the natural reaction will be for it to sprout. But it would have sprouted anyway. In the future you may want to simply tip the top 1/2 inch. Also, you will want to do it for every new growth spurt.
But, this does raise an interesting topic -- simply chopping back a tree doesn't necessarily keep it small nor is it conducive to fruiting. After you severely prune a big mango tree, its natural reaction will be to grow like a race horse. You need to 'calm' the tree down by increasing leaf surface area and selectively removing larger limbs (storehouses of energy). But, there is a fine line where if you remove too much, the tree will react by growing very aggressively and not fruiting for a season or two. You can mitigate this somewhat by tipping every new growth spurt.