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Saitama is looking for an opponent to fight but little does he know that he has accidentally stumbled onto the ogrelord's swamp, so Shrek wants him to gtfo
Neither of them will be able to significantly harm the other.
Shrek has the higher lifting strength here, but Saitama is the more intelligent fighter + has more stamina. I think Saitama will take this by wearing out Shrek with his superior stamina.
Even if Saitama's AP is higher Shrek's Dura is Small Building. Saitama won't make any significant damage easily even with Shrek combat mindset. The ogre's stamina is likely higher judging by the punishment he took.
Secondly, even if Shrek no-sells Saitama's attacks, Saitama will be taking even less damage from Shrek's attacks than what he can deal to the ogre himself, since even his 12 year old self is really far above baseline wall durability.
Shrek's stamina feat really isn't that impressive considering that his durability means he should have not felt much at all from that. Besides, Saitama's stamina is listed as being greater than Shrek's.
No, you can't just ignore the fact that Saitama's durability is far above baseline wall level by simply saying 'Oh it's wall level durability so Shrek must be able to harm him'
How is Saitama taking less damage than Shrek? He's a whole tier above in Durability than Saitama's AP. Wall Lvl AP has more chances to harm Wall Lvl Dura than Wall Lvl AP to Small Building Lvl Dura.
Adult Saitama without training should naturally be superior in durability to his 12 year old self, which is already over 56x baseline. A Saitama after some training should be immensely more durable than Adult untrained Saitama.