Since both of these radios are relatively old; I suspect the electrolytic caps are getting weak. In reality, it could be a few things. The internal power supply filter caps are often the source of noise in an older radio - BTW. There is a 13.8v plug on the back of the radio that will bypass the internal supply. IF you hook it up to an external power supply and the noise goes away; then the problem is definitely the radio's power supply filter caps.
The alignment will make a difference too. It is hard to say w/o the radio in front of me. How do they work with the ANL switched on? Any difference?
http://www.cbtricks.com/radios/cobra/87gtl/graphics/cobra_87gtl_sch.pdf