Ehh. There's the connotation of spying and then the real world denotation of spying. It connotes just information gathering. But spies are absolutely involved in sabotage.

There's no allegation of sabotage in the linked article or the grandparent comment though. And in fact the structure of the US intelligence community makes that sort of a broad leap too: "spies" may be involved in sabotage, but broadly the NSA never is. That's someone else's job.

Wikipedia article about NSA tends to differ:

Although many of NSA's programs rely on "passive" electronic collection, the agency is authorized to accomplish its mission through active clandestine means,among which are physically bugging electronic systems and allegedly engaging in sabotage through subversive software.

Though I cannot pinpoint it on NSA, I would say stuxnet is a good example of sabotage and probably involves the NSA.