Flight hours are not important in many/most Corporate Flight Departments. We don't really care that you have 10k hours of International 777 time, and we don't care if you only have 1500 hours TT.. If you are invited to interview with us, we are looking at you as a person. Is this the kind of person that is a "team player"? Is this person someone that I can go on a two week trip with and not want to kill at the end of it? To interview with our department you have to have an ATP already. So, we already know you can fly. We don't even care if you are already typed on our equipment.
That being said. If you are on furlough from another operator (fractional/airline). You most certainally will be asked "what are your intentions if you get called back"? You expect the company to be honest with you, so you should be honest with them too. We have several airline guys in our dept. that came from the airlines (mostly United). Many have been called back, all have turned the airlines down.
During the interview let the Department know that you have no problem doing your own Flight Planning, and how important safety and CUSTOMER SERVICE is to you. Not "bagging" on airline pilots, it is just that in the Corporate world we can't just stand at the cockpit door after a flight and say "thanks for flying with us". We have to get the coffee, get the newspapers, load the bags, order catering, clean the plane.
In short, NO. Your airline past does not count against you. Personality is everything.