Yes. Absolutely. You can ruin a Cosmo in three easy ways. First: use bottled lime juice. It tastes like sadness. Second: shake it with ice for two seconds. You need serious shaking—10 seconds, until the shaker frosts up. That’s how you get that silky texture.
Third: skip the straining. Nobody wants floating ice chips in their fancy glass. Double strain if you’re feeling fancy. Or just pour slowly like a normal person. Your choice.
And whatever you do, don’t add sugar syrup. The triple sec has enough sweetness. Unless you want a toothache in a glass. Then go nuts.