To insist on an unadulterated me vs To insist on an pure me

Some examples from the web:

• And, frankly, Mohawk is going to insist on a regular copywriter.
• You're in no place to insist on anything.
• I told Sister Mair to insist on it.
• And they're going to insist on a performance clause.
• It's not changing the subject to insist on a derivative copyright.
• One neighbouring Member State continues frequently to insist on the handover of surveillance at the border.
• The European answer to all this is to insist on safeguarding and promoting cultural diversity.
• Felisa, I want to insist on our relationship.
• I therefore have to insist on one year simply for practical reasons.
• However, your rapporteur would like to insist on two things.
• Parliament's key demand in terms of technical aspects was to insist on the wide use of applications.
• Mr President, the Commission wishes to insist on the request for an emergency procedure.
• Dr. Farland had to insist on the originality of his device to file a patent.
• I must be allowed to insist on this.
• Sam used to insist on honest work, But now he hustles pool, like his brother.
• The European Union has a special responsibility to insist on that through dialogue.
• Certainly, we must continue to insist on strict controls.
• I am not going to continue to insist on the economic issues.
• That is what we have to insist on, ladies and gentlemen.
• Thirdly, we need to insist on the development of south-south relations.

Some examples from the web:

• She didn't want the guy she likes to misunderstand, so she came herself to insist she was pure and innocent.
• And, frankly, Mohawk is going to insist on a regular copywriter.
• You're in no place to insist on anything.
• I told Sister Mair to insist on it.
• And they're going to insist on a performance clause.
• It's not changing the subject to insist on a derivative copyright.
• One neighbouring Member State continues frequently to insist on the handover of surveillance at the border.
• The European answer to all this is to insist on safeguarding and promoting cultural diversity.
• Felisa, I want to insist on our relationship.
• I therefore have to insist on one year simply for practical reasons.
• However, your rapporteur would like to insist on two things.
• Parliament's key demand in terms of technical aspects was to insist on the wide use of applications.
• Mr President, the Commission wishes to insist on the request for an emergency procedure.
• Dr. Farland had to insist on the originality of his device to file a patent.
• I must be allowed to insist on this.
• Sam used to insist on honest work, But now he hustles pool, like his brother.
• The European Union has a special responsibility to insist on that through dialogue.
• Certainly, we must continue to insist on strict controls.
• I am not going to continue to insist on the economic issues.
• That is what we have to insist on, ladies and gentlemen.