I'm not an aerospace engineer, but I know a little bit about turbines. The worst that throwing a bottle of flamable liquid into the intake air stream would do would be to cause a surge, or maybe a compressor stall if too much combustion happens before it gets inside the combustor. However, given the rather small amount of liquid, its unlikely to affect combustion long enough to matter. The burning liquid will expand in the compressor stages and reduce the pressure ratio, and when that air hits the combustor, it will probably run rich and rise the turbine inlet temp a little bit. However, there is so much mass flowing through those turbines, that a gallon of just about anything is going to get sucked in, burnt/heated, and blown out the exhaust in less than a second.
I know it isn't a high-bypas turbofan, but in general they do try to design turbines to reject solids and liquids from the intake air, and to safely ingest whatever makes it in. I know it's not the same, but here is a nice water ingestion test (and a couple other fun tests!):
https://youtu.be/_PR0Ka_J2P4?t=42sAgain, a power turbine is not going to be as good at this as a high-bypass turbofan, but it can still suck a good amount of liquid and not really care. Oh, and I take no responsibility for the horrible narration in that video.