The full sutta that quoted is: “Tisso imā, bhikkhave, dukkhatā. Katamā tisso? Dukkhadukkhatā, saṅkhāradukkhatā, vipariṇāmadukkhatā—imā kho, bhikkhave, tisso dukkhatā. Imāsaṃ kho, bhikkhave, tissannaṃ dukkhatānaṃ abhiññāya pariññāya parikkhayāya pahānāya … pe … ayaṃ ariyo aṭṭhaṅgiko maggo bhāvetabbo”ti.”
Translated: “Bhikkhus, there are these three kinds of suffering. What three? Dukkhadukkhatā, saṅkhāradukkhatā, vipariṇāmadukkhatā, which are the three kinds of suffering. The Noble Eightfold Path is to be developed for comprehending of these three kinds of suffering, for their utter destruction, for their removal.”
That does not mean ALL THREE types of sufferings are stopped at the Arahanthood.
Didn’t the Buddha get injured (by Devadatta)? Didn’t he have back pains? Didn’t he have a painful episode after the last meal? Therefore, even the Buddha was subjected to dukkha dukkha UNTIL Parinibbana.
The sutta means stopping of all three sufferings are at Parinibbana.
I discussed this in detail on May 30, 2018 under the topic, “Anantariya Kamma, Euthanasia and Assisted Suicides“. Please read that carefully.
– To make a connection to that post: Both sankhara dukkha (suffering associated with “effort and suffering associated with trying to get long-lasting happiness in this world”) and viparinama dukkha (being subjected to mental suffering when that does not work), are BOTH stopped at the Arahant phala moment. Thus, a living Buddha or an Arahant would NOT have those TWO.
– But dukkha dukkha is due to kamma vipaka, and as long as the physical body is alive, those could bring BODILY suffering.
If you have further questions, we can discuss it here or there.