I am with OperaHouse on this one.
What is really being asked is, can a strobe circuit couple enough energy into a nearby adjacent circuit to be dangerous ?
There are two issues, the energy available, and the efficiency of any coupling medium. The energy available in a vehicle strobe is not going to be very high, I do not know a figure, but my guess might be around 100 millijoules per flash, realistically about the same power as the discharge of an automotive ignition coil.
To couple energy into another circuit requires either magnetic, capacitive, or electromagnetic coupling. A vehicle strobe is a compact device without any large current carrying loops, or large flat exposed plates carrying rapidly changing high voltages.
A radio transmitter with antenna is DESIGNED to radiate RF energy and is going to be dangerous. Something of equal power with no functional antenna is going to be pretty harmless.
If you are worried, take a strobe around to the nearest EMC laboratory and get them to test it for various types of RF emissions. Get a written report, and ask their opinion.