Go for whichever suits you, I fly a business jet and want a career with many aspects to it as part of a long term career. Get on with whatever you want to do, If it hasnt been already said I believe the cross over is a state of mind rather than airplane type. Otherwise how on earth did we all progress from our previous flying - we didn't start on biz jets did we?!!!
I never quite undertsand why people in the UK biz jet fraternity are far too easy to cast the die once its set - remember aviation is an ever changing dynamic; so are you , so is your career , so is your company and so is the aeroplane you fly.
I've done allsorts of flying and biz jet stuff is just but one aspect of the game!