To go towards the church, Smithman had to turn left at the car (go east). To go towards the beach Smithman had to go straight on at the car, down a flight of steps (go south)
From things said in Aoifies statement, We have already ruled out the likelyhood of him turning right (west)
The short route to the MAIN beach is to the left, possibly past the church, though that would have been dumb. Still left, this time on another back route, and still dumb, because of the roadworks at the time.
Forget the beach. It turns up in the chapter headline of chapter 8 of Gonçalo Amarals book, A Man Heading to the Beach. There is NO mention of the beach (other than the headline) in that chapter.
Aoife is clear. She did NOT see where the man headed after sighting him.
From her sighting, it is likely, but far from proved, that the following happened.
He went south. Probably, from his path, but not certainly as Aoife did not see him do this.
To the beach? All he has to get past going south is - the Dolphin, Fernando's, Kellys and the Bull, plus the ones on the shorter East route to the beach.
The 24 hour ATM machine. The Luz Tavern. The 7/11 convenience store.
Then, if he takes the dumb route to the beach, he has to get past the Fortaleza plus the other 4 restaurants and the car park south of the church.
While, whether he takes the dumb route or the smart route, he has to get past O Poço and the Carlos Bar.
That's before he gets to the beach, which is overlooked by several establishments that were open and active at the time.
Then he has to bury Madeleine without having any sort of digging tool that the Smiths can see.
The searches started early, and it seems everyone thought the beach was a great place to look. The beach was overlooked and there was no time to hide a body, plus it does for many other reasons.
Madeleine did not go into the beach.