You are confusing between the non-actuality of subjunctive speech and the non-specificity of non-finite speech.
What you are reading is a sentence with subjunctive retrospection.
One of the difficulties I find in students of English from the far-east is their failure to see the significance, beauty and importance of subjunctive speech, as their native tongues probably do not have subjunctive speech.
Subjunctive speech operates in imaginary time, where the actuality of events described are unbounded. Unbounded actuality means events do not need to take place. Because events are specified in imaginary time, there is no reality for events to take place.
Non-finite speech is unbounded and non-specific in instance of time and object. That is, time of occurrence is unbounded and object is not specific.
Non-finite speech is also subjunctive speech if the actuality of events in non-finite speech is unbounded. Non-finite subjunctive is like not having the cake and not specifying when, or if you even ever get eat it - unbounded time, object and actuality.
You should read my explanations
Examples of subjunctive construction, are these present propositional speech
- If I ordered a pizza, would you eat it?
- Could you remove your shoes before you enter my house?
Within the braces are temporally and materially non-finite phrases (no specific time or house), to express the time-independence of the materialization of any such house. Since the {non-finite phrase} does not include an imaginary event, without an imaginary event, there is no subjunctivity to consider.
- I wanted {something}.
- I wanted {a house that is red}.
- I will want {a house that is red}.
- I have never seen {a house that is red}.
Subjunctive proposal for the present, without binding the action into actually happening:
- If I painted you a red house, would you give me your blue shoes?
Subjunctive retrospection of a past hypothesis, regardless if it did or when it happened:
- If I had painted you a red house, would you have given me your blue shoes?
Subjunctive future possibility:
- If I will have painted you a red house after our retirement next year, will you have given me your blue shoes?
Subjunctive retrospection of the past.
- I remember the wonderful time when he was still alive. I would often jump for joy when we ordered pizza.
Subjunctive non-finite:
- I advise that she {non-finite subjunctive}.
- I advise that she {go to school and acquire knowledge}.
- I advise that she {not go to school but stay home}.
- I advise that she {be home-schooled}.
- I advise that she {learn some manners}.
- I advise that she {start {nested non-finite}}.
- I advise that she {start {learning some manners}}.
Disclaimer:
Some people well-versed in understanding the term "subjunctive mood" applied to the English language is unaware of a more loosely defined "subjunctive" having a more general meaning in non-language specific linguistics. As they would attempt to shoot my explanation down due to my mere "wrongful" use of the term "subjunctive". Please refrain from doing that, no matter how wrong or maverick you think my use of the term is.
These topics on non-specificity are rather obfuscating at times and I hope I have not mistakenly assigned examples to categories where they do not belong. If I did, help me correct it.