In short, it prevents a code bug from triggering in some executables compressed by Microsoft EXEPACK.
Programs themselves are supposed to work at any address, but these executables are packed with Microsoft EXEPACK utility to make compressed executable that is smaller than the original uncompressed executable.
The EXEPACK utility decompression routine had a bug in it, which failed to decompress the data into memory when loaded into too low address.
Which is why the decompressor in the compressed executable prints an error that the packed file is corrupt.
The decompressor will decompress the data by overwriting the compressed data in backwards, from high memory addresses down to low memory addresses. It un-intentionally could end up underflowing a segment register from 0x0000 down to 0xFFFF, which requires that memory addresses wrap around like in 8088/8086 that only have a 1MB address space.
Later CPUs that could access more memory needed motherboard support to enable or disable the wraparound to be compatible with existing 8088/8086 code, this is called the address line A20 Gate.
Later on people had 286 or 386 CPUs, enough memory for EMS and XMS memory support, DOS and driver TSRs loaded into HMA and UMB memory areas, so you are in a situation where 8088/8086 address wrapping must be disabled with Gate A20 and you have used only about 20KB of the first 64KB of memory, and then the EXEPACK loader stub bug will trigger when executing a compressed program.
That's why there is a program called LOADFIX shipped with some DOS versions, which ensures that the program to be executed is loaded above the first 64KB to avoid the EXEPACK bug.
So it's not really the first 64KB that are special, unless you consider the fact that on later machines the hardware may be in a mode which prevents software from accessing it through wraparound, be it intentional or unintentional from the software.
For further info, see Microsoft Knowledge Base article Q72360 ans OS/2 Museum article on EXEPACK and A20 Gate.