In GOF you speed that process up by orders of magnitude. You arrive at the viable mutation sooner, possibly infinitely sooner if random mutation would never have arrived. If you engineered part of it, there's a good chance it would never have emerged naturally. It might have come into the world in a few decades or centuries, or it might never have. But you have it now, and have to guard it perfectly as long as it remains in your lab.
Bottom line, it probably won't escape, but it probably never would have emerged naturally either. IMO, to make GoF a beneficial trade-off, it should be focused on viral species that are close to emerging naturally and do not need their genomes to be artificially manipulated in order to become dangerous.