I doubt it. The NRO was a classified department until very recently, and NASA doesn't classify its programs, so there's no reason for NASA's employees to have clearances. Therefore, NASA leadership and strategists wouldn't have even known that the NRO existed, and independently came up with their lesser satellites, no agenda needed to pretend to have an inferior space sector
It was accidentally revealed in 1973 (though known since 1971, just not acknowledged), and officially declassified in 1992. It's been around for 66 years now, so more than half its existence was declassified, and realistically it's been known for 55 of its 66 years.
I think you are missing the point they were trying to make.
If NASA was having visible issues and difficulty in trying to get something like Hubble working in space, then perhaps the US’s spy agencies (known or not) also had the same difficulties. NASA employees wouldn’t need to have known about the NRO to help provide cover for their capabilities. Just publicly showing their struggle - for transparency - would have been enough.
(If NASA had a clue about the NRO capabilities or not, I doubt they would have cared. They still got their space telescope!)
People knew the NRO existed a long time before it was publicly acknowledged, you can't have an office building of that size, parking and sheer number of people commuting to it daily in a regular pattern in a Washington DC suburb without some people starting to talk.
It was kind of a "yeah of course, what do you expect, we don't have this capability?" rhetorical question.
It was known in much the same way Janet flights are known.
Thinking that nasa leadership wouldn't be aware of its existence at all is not accurate, I think, any more than thinking people at certain aerospace contractors didn't know it existed... More like, it was metaphorically over on the other side of a fence that people were not allowed to touch.