Anytime you coil wire induction happens! Unless the coils are spaced far enough apart, (how far I don't know) it will change the electrical length of the wire. (resistance) This changes the "tuning" of a reciever. It's the wave-length/electrical-length of the antenna that is critical to the tuning of the reciever. Crossing the coils probably wouldn't make much differance as its still going to be out of tune, though probably not as much. SWR (standing wave reflected) on a transmitter is critical. Thats why some trans. antennas are longer than others. Recievers are "tuned" to a specific frequency and the antennas electrical length is part of it. Change the electrical length with wire cutters or any type of coil, and ya change the frequency. This can't be a good thing even if it works close in! It will cut down on the range. How much depends on how far off frequency it is in a reciever, or how much of the signal is reflected back into the transmitter. Any of ya into amateur radio, or CB will tell ya that 1/4" of antenna length will change everything in recieving or transmitting. A wad (not a coil) of antenna wire inside of the fuse. with a little strung outside is WAY better than any kinda coil. Thats why that "whip" is the best alternative, when the rest of the antenna is waded-up in a hap-hazzard fassion inside the fuse. No coil, no cut! JMO. Q.

Edit; a "wad" of wire ain't a "coil", and does not change the electrical length of the wire. IF the "whip" has a load-coil then the reciever can be fooled to think the overall length is correct because the electrical length is correct due to induction in the coil.
My point is...wad it up inside, pull some out to fit the model and forget it.