Note that in English, a real pattern of the last say 100 years is that:
we take complicated words with very specific meanings, and we convert them to mean: "very".
That is to say, complicated words have been converted to simply "emphasis" placeholders.
There are any number of examples of this. A funny example is
You can look up what literally used to mean in an (old) dictionary.
However nowadays literally just means "really" or "very" - it is just general emphasis.
For example, normal sentences are:
"I was literally driving at 300 miles an hour!"
"That guy is is literally insane!"
"I literally died when I saw the ending to The Mandolorian"
and so on.
There are any number of examples of this - hundreds of examples. Virtually, perfectly, purely, amazing, stunning, overarching, etc etc. One random example, the word "decimate" in fact originally had an actual meaning, it means to destroy one-tenth of a force. But it now just means "destroy in a huge way, destroy everything, massive, emphasis!"
(Humorously I recently read in a youth novel ".. we literally decimated them .." which uses both words completely incorrectly! That is to say, incorrectly in terms of the old meaning.)
In the example at hand. Note that it is very likely that the writer does not even know or understand the actual meaning of "singularly".
You need to hear it as really just an "interjection".
Imagine this happened while someone was talking:
"This is a > slaps hands together and makes angry face < shit strategy for education!"
"This is a, damn it guys, shit strategy for education!"
"Singularly" has just become a random emphasis word. Because it's "sophisticated" it has a sort of pseudo-weight. But again, the writer does not even know or understand the actual meaning* of "singularly" - it's a "random emphasis sound-form".
Funnily enough I just heard (US) a local radio ad where someone said regarding a shop ".. is a singularly best location for choice and value ..".
It's completely, totally, utterly meaningless.
The person writing the copy would not be able to define "singularly". It's now just "a general emphasis word". It would be exactly as if they had had the announcer read: ".. is a, right on!, best location for choice and value .."
It's completely meaningless, it is just a general slangy "sound interjection".
Like WOOT! or YEAH!
Thus beware of dictionary definitions in these cases.
You would never learn this from a dictionary but in the example,
singularly shit strategy
very shit strategy
That's all it is.
You could put any emphasis word in there. Fucking shit strategy, literally shit strategy, amazingly shit strategy, etc.
The author is not trying to literally tease out the distinct meaning of the archaic meaning of "singularly" - it is a random emphasis-soundform that "sounds cool".