The phrase "absolutely intent" is correct and usable in written English.
It can be used to express a strong determination or focus on a particular goal or action.
Example: "She was absolutely intent on finishing the project by the deadline, no matter the obstacles."
Alternatives: "completely determined" or "firmly resolved".
You said in your interview with Hugh Hewitt that contrary to public statements by the Issa team, in your opinion, Issa seemed absolutely intent on investigating it.
When I was a college student at Yale, I was studying physics and mathematics and was absolutely intent on becoming a theoretical physicist.
"They were absolutely intent on writing a tough bill," said Michael Paese, who was a senior counsel to Democrats on the House Financial Services Committee at the time and is now a lobbyist for the securities industry.
"If there was ever any doubt, it is now clear that Arroyo is absolutely intent on consolidating and perpetuating her power by shifting it from the executive to the legislative branch," Pacific Strategies and Assessments, a political and business risk consultancy in Manila, said in a report in March.
Many dozens of kids were charging down the aisle, absolutely intent on taking that guitar away from me.
"Congressman Hardy is absolutely intent on serving his constituents across Nevada's 4th Congressional District," Knuteson wrote in an email.
"There was absolutely no intent on my part.
"I have absolutely no intent of calling a hearing at this time".
"I had absolutely no intent of causing the family pain," he said.
The essence of the presentation, they said, was that Mr. Malinsky had absolutely no intent to engage in any criminal conduct.
"What we now know is that he retained absolutely the intent and the intellectual know-how to restart a nuclear and a chemical weapons programme.
