On the other hand, there's a difference in the level of abstraction between copy/paste of code and calls to a library or framework. The question is, will you recognize the difference between a bug in your code, a bug in the copied code, and a bug in the framework code?
To solve code problems, you need to be able to identify where the problem actually lies ...
If you understand your code at your current level of abstraction, you're probably doing OK. If you don't, you're definitely in trouble.
Copy/paste lives at the same abstraction layer as code that you actually write yourself - the same level of understanding should apply. (Of course, if you don't understand any of the code you write, you're in the clear ;)
If you went and copy-pasted some code on stack overflow into a file, put it on github and released it as a "library", I might not agree that it was one.