But the switch never flipped all the way. Philadelphia scored the next four goals before Eichel finally found the back of the net again, at which point the game was already out of reach. Robin Lehner allowed all six goals on 30 shots.
There were bad breaks - Jordan Weal had a puck go in off his skate, and Claude Giroux cleaned up a rebound thanks to an odd bounce off of Sabres defenseman Josh Gorges - but even those, Bylsma said, could be attributed to his team's play.
"A lot of those cases we didn't win our battles," Bylsma said. "The plays at the net are unfortunate. You can look at a skate off the third goal and the fourth goal. They're unfortunate type of breaks but they're unfortunate types of breaks where we battle at the net and there's a crowd in front of Robin."
It was still 4-2 when the Sabres came out for the third period, and their first shift suggested a comeback might be in store after some good offensive-zone play led to a chance for Ryan O'Reilly from the slot. It was only 2:45 into the period, however, that Chris VandeVelde extended the Flyers' lead with a shot past a screened Lehner. Travis Konecny capped the scoring for Philadelphia less than three minutes later.
"We've all got to take a look at what we've got to do better," Lehner said. "We don't think this is fun. It's not fun, going into a building and hearing disappointment. It's not what we strive for. We're trying, it's just not working for us right now. There's not much more to add to that."
In spite of their struggles of late, the Sabres still entered the night a mere five points back in the race for the second wild card spot in the Eastern Conference. That's not true anymore; three teams they're chasing - the New York Islanders, Toronto and yes, Philadelphia - all won their games, making the climb that much steeper with 15 games to go.
"It's going to be a challenge for the group," Bylsma said. "I put it out there after the game, we've got two days off and then we get back at it again with 15 to go. We've got to decide how we're going to come back here and play these last 15."