放題 => doing as one pleases; to one's heart's content; leaving uncontrolled N1
…のも無理 (は) ない => It's natural for... N3
Evaluate
を問わず => regardless of; irrespective of; no matter~ N2
のも無理もない => (to be) natural,(to be) understandable N3
Evaluate
を[問「と」]わず => Disregarding A; Without relation to A N2
Considering, Concerning