Your argument is selfish and ill-thought out; if you solo a quest, then nobody else benefits (and they don't need to) but if you are in a party, then your reasoning flies in the face of the concept of multi-player cooperation, which you have agreed to participate in by being in a group. Sure, they are your skills, but conversely if you are dying in a party, you would want help such as healing... imagine if the healer let you die and then wrote in chat "tough, these healing abilities are my abilities after all". That wouldn't be very nice, would it? DnD and DDO promote group questing for a reason. Being selfish about it does you no credit.
EDIT: in a purely RP context, if the party trapper spotted a danger, they would [normally] alert the group; the idea of being useful. The new icons/sounds enables such party communication.