Every so often someone comes up with the idea of implementing a new ISA without byte addressing. MIPS did it, ARM did it, and Alpha did it. In each case, within a couple of ISA revisions, byte (and other small word) addressing was added in.
Strictly speaking, nobody needs byte addressing for general-purpose code, in the sense that it can be emulated using word addressing and manipulation instructions, and that's what the ISA designers figured. There are essentially two reasons why byte addressing was added back in all of these architectures:
- Device driver performance suffered measurably. It turns out that whatever software people think of it, hardware designers insist on creating devices that require uncached byte addressing.
- Using instruction cache effectively turns out to be very important. While text processing exists, programs will want to manipulate bytes. Requiring more instructions to do this means using more instruction cache to do the same job.
Incidentally, the instruction cache issue is also the reason why x86-64 still uses variable-length instruction encodings which go down to one byte in size. Decoding these instructions uses a crapload of power (which is why your smart phone doesn't have a x86 family CPU), but because more common instructions are shorter, you end up transferring less data between RAM and instruction cache for the same program.
By all means try, but that's what you're up against.