Interesting question. Iti 44 only refers to Arahant feelings from the five physical sense faculties.
However, his five sense faculties remain unimpaired, by which he still experiences what is agreeable and disagreeable and feels pleasure and pain. It is the extinction of attachment, hate, and delusion in him that is called the Nibbāna-element with residue left. Iti 44
Suttas such as MN 148 do not appear to distinguish between physical & mental feelings, as follows:
Mind consciousness arises dependent on the mind and thoughts. The meeting of the three is contact. Contact is a condition for what is felt as pleasant, painful, or neutral. When you experience a pleasant feeling, if you don’t approve, welcome, and keep clinging to it, the underlying tendency to greed does not underlie that. When you experience a painful feeling, if you don’t sorrow or wail or lament, beating your breast and falling into confusion, the underlying tendency to repulsion does not underlie that. When you experience a neutral feeling, if you truly understand that feeling’s origin, ending, gratification, drawback, and escape, the underlying tendency to ignorance does not underlie that. Mendicants, after giving up the underlying tendency to greed for pleasant feeling, after dispelling the underlying tendency to repulsion towards painful feeling, after eradicating ignorance in the case of neutral feeling, after giving up ignorance and giving rise to knowledge, it’s totally possible to make an end of suffering in the present life.
Similarly MN 37:
“Lord of Gods, it’s when a mendicant has heard: ‘Nothing is worth insisting on.’ When a mendicant has heard that nothing is worth insisting on, they directly know all things. Directly knowing all things, they completely understand all things. Having completely understood all things, when they experience any kind of feeling—pleasant, unpleasant, or neutral—they meditate observing impermanence, dispassion, cessation, and letting go in those feelings. Meditating in this way, they don’t grasp at anything in the world. Not grasping, they’re not anxious. Not being anxious, they personally become extinguished. They understand: ‘Rebirth is ended, the spiritual journey has been completed, what had to be done has been done, there is no return to any state of existence.’ That’s how I briefly define a mendicant who is freed through the ending of craving, who has reached the ultimate end, the ultimate sanctuary, the ultimate spiritual life, the ultimate goal, and is best among gods and humans.”
Possibly you can study MN 152, which might also be helpful (but I am too lazy to read).
The above said, since the 3rd Noble Truth says the end of craving is the end of suffering, why such concern about feelings?