The 2 big differences are the added weight of the Heavy barrel, and the heavy barrel will be stiffer and absorb more heat so you can fire more rounds before your POI starts to wander.
No you didn't mess up, unless you are planning to compete in some kind of competition rimfire matches or something. For normal small game hunting and plinking and informal target you will likely not see a noticeable difference, and the rifle will be nice and light for carrying in the woods.
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