The news reports are worded a bit strangely - was he at the beach with his wife already, then they started walking home and he realised he'd lost his phone so went back towards the beach to look?
Ive not read that.
The info in the Mail (which he wrote for) says that -
He and his wife were staying with another couple on the island,
They all took a boat from their villa to the beach.
The couple and his wife decided to stay on the beach.
His phone was at the villa (he didn't have it.)
He decided to go for a walk (back to the villa?)
There is no way this is going to end well, but what is odd is that he can only have gone missing by deviating off the path. IF the path is steep he could have fallen into the sea.
I don't understand why the alarm was raised 6 hours after he went missing.
That suggests they knew he was going for a longer walk and not just a stroll.
Surely there was a discussion like 'I'm going for a walk and will see you all at the villa later today?'