I hate to break it to you but "Flash Developer" is an oxymoron. That is like saying you are an HTML/Javascript developer. You are a "web guy".As a Flash Developer I can say this is good news. I have always disliked the flood of poor programming by sudo developers in Flash, this is one of the major reasons for issues with the Flash player, and welcome the hope that as Flash becomes an even smaller "niche" platform we begin to see fewer things developed in Flash, but much better quality for those things that are.
I for one will not miss it on mobile and have always thought it to be a bad idea in the first place.
A "real" developer does not call themselves a "insert language here" developer. That is at best a "programmer". You should be familiar with several languages and at least proficient in both C/C++ and either C# or Java. Sorry but "web" scripting languages do not count.
I used to be an HTML/Javascript web guy at work for a short time but I already had learned other languages prior to that so moving from web development so I moved onto perl for rendering webpages before moving off to backend server development.