Installing SQL Server 2000 32-bit on Windows Server 2008 x64? Am I correct in assuming there won't be any issues installing SQL Server 2000 32-bit on a Windows Server 2008 x64 system?  

I understand the memory limitations, etc, but that doesn't matter at this point.
I'm not sure why you're installing SQL Server 2000 anywhere in the year 2012, but no, there shouldn't be any technical issue other than the ones you've identified and the fact that it is nowhere near supported.

In any case, there is no 64-bit version of SQL Server 2000 - there is only 32-bit for x86 and 64-bit for IA. I assume your Windows Server 2008 box isn't Itanium.