The idea that the Prophet (S) passed away in the lap of A'ishah is found in some Sunni texts and is generally not shared by Shi'is. Other texts say that he called Imam 'Ali (A) to him before he passed away, and this view is generally the one adopted by Shi'is. Here is a Shi'i view on his last moments: https://www.al-islam.org/life-muhammad-prophet-sayyid-saeed-akhtar-rizvi/death-and-burial
In any case, it wouldn't have been fair for the Prophet (S) to favour A'ishah above his other wives at that time.
That being said, I don't think there is a lot of benefit in speculating over how much he did or did not love her, at the end of the day they were married and the Prophet (S) had a noble and generous personality and extended love to many people, this was part of what made him special and beloved in turn.