Maybe the gap is bridgeable and they want another teammate in the peloton to bridge.
Today's TDU stage proved this point. Phil and Robbie were aghast that a rider with a teammate up the road would escape from the field and try to bridge. It is an unwritten rule that you don't chase down your teammate unless you have a really good reason to. The only reason that matters is: your DS (Directeur Sportif, i.e. Team Manager in the car) told you to. If that was a lone attempt without team support, that's a huge negative mark on that rider, and that rider's future. The UCI (Union Cycliste Internationale) is the worldwide governing body of cycling, but it is also very much a union, protecting riders, sponsors, and the spectacle of the sport. Teams can't just fire riders for doing stupid stuff. There are hundreds of pages of regulations that define how, when, and for what reason a rider can join, transfer, or leave their team. There are huge fines and penalties for screwing over a rider, and for disrespecting the sport.
As to what happened at the end and the preliminary results that were posted before the Commissaire's Panel (the officials that convene after a race to set results and deal with penalties) had reviewed them, that should not happen, but it sometimes does. All that's needed immediately after the race is the results for the podium ceremonies (winner, points leader, mountains leader, and any other intermediate jersey that the organizer wants to offer, such as Best Young Rider, Most Aggressive Rider, etc.). It should have never gone out when they knew there was a crash at 3km to go.
The 3km rule, which can be modified by the PCP (Chief Referee) and the organizer when they meet before the first day of racing, applies to stage race finishes only. No one day races like the Monuments, Paris-Roubaix, etc. Just stage races. It says that if any rider has a recognized mishap (crash, flat, mechanical failure that was not caused by the rider or mechanic, etc.) after they pass the 3km to go sign, their finish time is the same as the group that they are in. That does not mean what Liggett said, that they get the same time as the winner. The only reason they did was because the winner's group was all together. That is defined as there being no more than a one second gap between riders in the lead finishing group. If there was a larger gap or a split in the group, the GC leader would have lost time. This is why you see GC leaders fight so hard to not only get to the 3km marker up front, but to stay up there and cross with the front finishing group to avoid a split. The other part of the rule says that their placing on the stage is counted when they cross the line. This comes into play with certain specific tie break situations. Let's say the 4th and 5th on GC get caught in a crash at the finish, get up, and start racing again. Their finish time will be the time of the group that they were in at the time of the crash, which may be the group they were chasing as they got close to the line. Let's say both riders catch that group. They are tied on time, but their GC placing will be decided on who out of those two crosses first as the tie breaker. If you're mid pack GC, it doesn't matter. If you're top 10, it does, and you will see riders off the back sprinting for the line. That's why.