"It goes from bad to worse," former Albion skipper Wile told BBC Sport. "To take advantage of going away, you'd hope everyone would treat it as it should be and lift the pressure a little bit.
"To do what they have done, knowing they were out beyond the curfew – I actually thought the curfew was very generous at 12am – and then to do something ridiculously stupid like take a taxi, beggars belief.
"What surprised me is these aren't kids. They're four adults, four very senior professionals, and that's just not the sort of behaviour you'd expect from someone of their standing. It's a total disrespect for the people who are employing them and for the people who support them every week.
"These guys are revered by thousands of people, they should set an example. We're told the modern game is so professional, they're athletes, they're looked after. This tells you an awful lot that's not happening."
West Brom return to action Saturday when they face fellow Premier League strugglers Huddersfield Town at The Hawthorns.