Sure, but a logic error is a fundamentally different class of error compared to a memory error. The potential harm of a logic error is limited in scope to what the program was written to be able to do. A memory error can lead to arbitrary code execution.
Absolutely, and I didn't suggest otherwise. But a logic error generally won't lead to your entire system getting pwned unless the program that has the logic error is one for something like user administration or managing a database etc.