#include <string.h>
#include <wchar.h>
#include <uchar.h>
#define char8_t char
#define strlen8 strlen
#define strlen16 strlen16
#define strlen32(s) wcslen((const wchar_t*)s)
static inline size_t strlen16(register const char16_t * string) {
    if (!string) return 0;
    register size_t len = 0;
    while(string[len++]);
    return len;
}
You should expect the number of char16_t characters to be returned, as opposed to byte count.
Optimized 32-Bit Intel Atom Assembly View:
gcc -Wpedantic -std=iso9899:2011 -g3 -O2 -MMD -faggressive-loop-optimizations -fkeep-inline-functions -march=atom -mtune=atom -fomit-frame-pointer -mssse3 -mieee-fp -mfpmath=sse -fexcess-precision=fast -mpush-args -mhard-float -fPIC ...
.Ltext0:
    .p2align 4,,15
    .type   strlen16, @function
strlen16:
.LFB20:
    .cfi_startproc
.LVL0:
    mov edx, DWORD PTR 4[esp]
    xor eax, eax
    test    edx, edx
    je  .L4
    .p2align 4,,15
.L3:
.LVL1:
    lea eax, 1[eax]
.LVL2:
    cmp WORD PTR -2[edx+eax*2], 0
    jne .L3
    ret
.LVL3:
    .p2align 4,,7
    .p2align 3
.L4:
    ret
    .cfi_endproc
.LFE20:
    .size   strlen16, .-strlen16
Here an Intel disassembly:
static inline size_t strlen16(register const char16_t * string) {
   0:   8b 54 24 04             mov    edx,DWORD PTR [esp+0x4]
    if (!string) return 0;
   4:   31 c0                   xor    eax,eax
   6:   85 d2                   test   edx,edx
   8:   74 16                   je     20 <strlen16+0x20>
   a:   8d b6 00 00 00 00       lea    esi,[esi+0x0]
    register size_t len = 0;
    while(string[len++]);
  10:   8d 40 01                lea    eax,[eax+0x1]
  13:   66 83 7c 42 fe 00       cmp    WORD PTR [edx+eax*2-0x2],0x0
  19:   75 f5                   jne    10 <strlen16+0x10>
  1b:   c3                      ret    
  1c:   8d 74 26 00             lea    esi,[esi+eiz*1+0x0]
    return len;
}
  20:   c3                      ret    
  21:   eb 0d                   jmp    30 <AnonymousFunction0>
  23:   90                      nop
  24:   90                      nop
  25:   90                      nop
  26:   90                      nop
  27:   90                      nop
  28:   90                      nop
  29:   90                      nop
  2a:   90                      nop
  2b:   90                      nop
  2c:   90                      nop
  2d:   90                      nop
  2e:   90                      nop
  2f:   90                      nop