Fixed-wing pilots certainly need to be careful, but since fixed-wing has less maneuverability than helicopters, the helicopters carry a greater burden of staying out of the way of other aircraft. If a helicopter moves abruptly into the flight path of a fixed-wing, it may be hard for the fixed-wing to avoid it (although I'm not saying that that happened here). In this case, the helicopter was operating commercial and the private plane was not, so that imposes an additional burden on the helicopter, independently of the aircraft type.
There are always cries to "do something!" from people who react emotionally rather than rationally to current events. Pilots are not immune to this, even when they should know better, as several posts here demonstrate.
I suggest that nothing ever be changed in regulations for at least one year after any accident. This allows most people to overcome their emotions a bit and think with a somewhat clearer head, and it also allows the news media to move on to other stories. By waiting at least a year to "do something," people may realize that nothing really needs to be done.
It's good that Bloomberg is a pilot, but he is surrounded by non-pilots who believe that flying a private plane is an elitist, dangerous sport that should be banned. Commercial air travel is not banned when an airliner crashes because average people want access to air travel and would feel personally constrained if it disappeared, but only one person in 500 is a private pilot, so most people don't care about private, general aviation and wouldn't miss it if it were gone, so they are happy to ban it.
Be careful what you wish for.