He was easier to sell to the public in both the US and Pakistan than selling them the fact that the SEALs were working from the biggest SPECOPs base Ghazi, in Tarbela with SSG.
I also don't believe that Blackhawks took off from Jalalabad, flew into Abbottabad, loitered on hot fuel for like an hour and went back without refueling. They don't have enough range to do that. It is likely that they took off from Tarbela, because it's our biggest helicopter base for Special Operations Task Force, hence it holds all of the needed infrastructure.