The mention of these "faults" were not a motivating factor in the desire for living water, the mention of her "faults" was AFTER her desire for living water.
Why do you see "faults" instead of "misfortune" that causes SUFFERING? or have you not understood the COMPASSION Jesus spoke of in His sermon? and in these "rivers" that were also mixed with Christ's blood at the cross? (GENUINE, heartfelt compassion). A "dull heart" causes dull hearing...
She desired the living water in verse 15, her "faults" as you call them (as though you desire that she should have shame and guilt, not very nice to 'rub it in' and inflict shame and guilt on a person) were not 'mentioned' (you say "POINTED out") until verses 17/18, but she never reacted defensively (no doubt you are disappointed, you would rather she cringe?).
Do you enjoy watching people cringe when you inflict shame and guilt on them?...You set yourself up as judge.
Many people ENJOY imposing guilt, shame, humiliation, intimidation on other people (their VICTIMS) in order to redeem their vain seared ego or their conscience (or both, completely disregarding the other person's feelings). This is HUMAN nature, a PREDATORY act, it is not GODLY nature). Do you remember who "prowls like a lion" seeking/preying on someone to "DEVOUR"?
You don't want the other person to get the wrong idea that they are accountable to YOU, do you? You want them to know that they are PERSONALLY accountable to God only, don't you?...you should.
Our minds work the way we want them to.
No matter what you read in scripture as 'requirements', you always have the option to SURPASS the minimum requirements.