All references of any time he was offered a drink need to be studied. And he did accept a drink when he said "I thirst".
1st - Mark 15:22,23 And they [soldiers] bring him unto the place Golgotha, which is being interpreted, The place of the skull. And they gave him to drink wine [oinos] mingled with myrrh: but he received it not. [bring - to bear or to carry - in the present tense indicating they were still on their way to Golgotha.]
2nd - Matthew 27:33,34 And when they were come [having come] unto a place called Golgotha, that is to say, a place of a skull, They gave him vinegar [oxos] to drink mingled with gall [chole]: and when he had tasted, he would not drink. [Here they have arrived at Golgotha] The vinegar-like drink was cheap very sour wine.
3rd - Luke 23:36 And the soldiers also mocked him, coming to him, and offering him vinegar [oxos - the very cheap sour wine]
4th - Matthew 27:48 And straightway on e of them ran, and took a spunge and filled it with vinegar [cheap, sour wine] and put it on a reed, and gave him to drink.
Mark 15:36 And one ran and filled a spunge full of vinegar and put it on a reed and gave him to drink, . . . .
Then in John 19:28-30 Aftger this, Jesus knowing that all things were now accomplished, that the scripture might be fulfilled, saith, I thirst (Psalms 69:21). Now there was set a vessel full of vinegar and they filled a spunge with vinegar and put it upon hyssop and put it to his mouth. When Jesus therefore had received [lambano] the vinegar . . .
The drinks mingled with "myrrh" and "gall", bitter substances known to deaden pain, were offered to victims as an anesthetic to help deaden the pain. Jesus did not receive the wine mingled with myrrh nor the one mingled with gall, choosing instead to bear the full pain and suffering. When we look at what Jesus endured for us - the hours of ridicule, the hours of torture, the hours of beatings, and scourgings, his hours of hanging on the cross - it is heartbreaking and yet he did it all for us. [Isaiah 52:14 - 53:12]