It is not possible to know whether or not the radio operators felt any remorse about their previous actions.
Explanation
Many people could not believe the Titanic was sinking even while lifeboats were being lowered. This disbelief in combination with the band playing kept the atmosphere relatively calm for a while. The first class passengers were given priority into the life boats because they were considered more important than the other classes.
When the designers were creating the ship, they had never imagined that the Titanic would hit an iceberg because they assumed that such a big ship would have better chances spotting an iceberg well before it would come close to hitting it. The designers also assumed that if it did happen to hit an iceberg that it would hit it head on and would be protected by the first four watertight compartments. They did not imagine that a hole would be created along the side of the Titanic.
The Captain of the Titanic was known for having an excellent safety record and some have said that the reason the ship was travelling so fast was because Bruce Ismay was ordering the Captain to travel faster to break record time. Others have argued that it was common for ice to be in the sea lanes at that time of year and that the Titanic was not travelling extra-ordinarily fast compared to other ships at the time and that the Captain had enough experience to know what he was doing.
Fleet and Lee did not have any binoculars because the Titanic did not bring many aboard. The sea was calm, which meant that there were no waves and surf crashing against the iceberg, which would have made it easier to spot.
Third class passengers were playing with the ice that fell on the deck but Jack Thayer did not join in. The Captain and Thomas Andrews (the ship builder) toured the Titanic and were very concerned by what they saw and Andrews advised the Captain that they probably only had an hour and a half before it sank.
There are many theories about this mystery ship and some claim that it was not the Californian at all as asserted in the excerpt below. But, only the Carpathia responded to the call for help while this mystery ship never did despite it being closer. Some claim it there was no ship or that it was cold air mirages that prevented them from seeing the Titanic while others assert that it was the fact that no one could believe that the Titanic was actually sinking. The Mystery Ship According to newspaper reports from 1912, the SS Californian was just eight to 15 miles away from the Titanic as it sank, but failed to respond to distress calls. Several Titanic buffs believe another ship, the 254-ton Samson, was just five to eight miles away, between the Californian and Titanic. The SS Californian's crew claimed that this mystery ship, which some believe to be the Samson, was steaming away, confusing them into thinking the rocket-flares came from a ship that was, in fact, in fine working order. For its part, the Samson may not have been eager to identify itself because of illegal seal hunting. http://www.ibtimes.com/titanic-facts-10-things-you-didn%E2%80%99t-know-about-ship-timeline-events-survivors-435770