yes.That is why I quoted the poem which says Yudhi went home Not waiting in the forest.Dhrishtadyumn's account t to Drupad states that 'He followed those 2 men (Bheem- Arjun) and Draupadi to potter's house.
(Nowhere does he mention that these 3 met the other 3 or that all 6 went to the hut)There, at the hut, Dhri saw an elderly lady ALONGWITH 3 men seated besides her, each like a fire itself'.Also Vaishampayana says , 'When the uproar reached its peak, Yudhishthira swiftly left the assembly and went home, accompanied by the twins.On seeing the target shot, Krishnaa was extremely happy and she went to Kunti's son with a garland of white flowers. ''It's quite clear that Yudhi with twins reached hut much earlier to Arjun-Draupadi.Yudhi stood to gain the most in his plan with Kunti. I cannot understand people accusing Arjun being part of a plan where he stood to lose the most.