What an unfortunate view to hold.
If I had a nickel for every instance in the suttas that the Buddha and the Arahants declared freedom from dukkha, birth, aging, illness, and death - I would have a lot of nickels.
Bhante G's response to OP was accurate.
In short, pancupadanakhanda (five aggregates of clinging) = dukkha
Pancakhanda (just the five aggregates (without clinging, such as in the case of the buddha or the arahant)) = no more dukkha
Dukkha (suffering, which is synonymous with clinging (upadana)) is determined by tanha (craving), tanha is determined by vedana (feeling), vedana is determined by phassa (contact). With tanhanirodha (nirodha meaning removal), there is dukkhanirodha, with vedananirodha there is tanhanirodha, with phassanirodha there is vedananirodha (and so forth leading to avijja (ignorance), thus with avijjanirodha there is phassanirodha).
In the case of the Buddha (and the Arahant) there is phassanirodha (removal of contact): "Contacts contact depends on ground, how could contacts contact a groundless one?" - Udana
But foremost and forerunner:
However there is a more general and fundamental issue to be dealt with here before these specifics can be sufficiently appreciated, and that is, no one short of a sotapanna understands dukkha, dukkha is destroyed to the extent it is understood, thus dukkha is only understood to the extent that it is destroyed.
"What is dukkha?" Is not a question to be taken lightly, for only the enlightened (the one who is at least a sotapanna) knows the answer and understands the question in the first place. To know the answer to that question means one has reached at least the 1st stage of enlightenment.