We have that hotfix installed in our machines and the end result is the same, tblPROCESSOR.Architecture is set to 0, even if the CPU is 64-bit capable. I think they've just fixed the CPU name, not all the underlying details.
I've just checked two machines with the same CPU (Intel Pentium DualCore E5700) one running Windows XP 32-bits with the patch, it reports 0, and another running Windows 7 32-bit, and it reports 9.
I use a combination of PSEXEC and CPUZ to get that kind of low level info, but I've not integrated that with Lansweeper...