Indeed you should run cpu060. That'll tell you if it has FPU or not, for sure.
ShowConfig checks AFB_68881 flag for FPU... And this flag is only set when 6888x FPU emulation routines have been loaded (the flag is set by 68060.library).
/*
* The AFB_FPU40 bit is set when a working 68040 FPU
* is in the system. If this bit is set and both the
* AFB_68881 and AFB_68882 bits are not set, then the 68040
* math emulation code has not been loaded and only 68040
* FPU instructions are available. This bit is valid *ONLY*
* if the AFB_68040 bit is set.
*/
The same applies to 68060.
So non-functional 680x0.library will result in ShowConfig not reporting the FPU, even if it does exist.