Assuming you were a low-time CFI, this will be a non-event if you handle it correctly. Regionals won't care, and by the time you are ready for the majors you'll have years and thousands of hours of safe turbine experience. Obviously don't make a habit of this kind of thing.
i'Ve had several airline buddies recently get sidelined due to GA incidents/violations which occurred while they were working side jobs or even recreational flying. If you get called for an interview with an open investigation, you're not getting hired. One had to do a plea deal with the FAA because he was getting calls from majors and needed to take his lumps, and start putting water under the bridge rather than drag it out.
I'm at a point right now where I'll tell regional pilots to stay the hell away from GA until they get that legacy job. Too easy for too many things to go wrong in GA.