<< it shouldn't work with a C2 anyhow, the i810 chip OFFICIALLY doesn't support it. >>
You'd better tell Intel then, because they officially state it does. However, I don't know about the Tekram board specifically.
One point though... even if the voltage regulator does go as low as 1.3, the website states that FC-PGA Coppermines do not work. Of interest as to why a 533A might work but a 633 might not is this little bit of info:
Intel® Celeron? Processor
Use of the boxed Intel® Celeron? processor on Older Flip-Chip Pin Grid Array (FC-PGA) motherboards
Integrators should use Intel® Celeron? processors up to 600 MHz maximum on older Intel® 810 chipset family motherboards. The reason for this is that the older boards implement a uniplane design where as flexible motherboards implement a split Vcc and Vtt planes. To run Intel Celeron processors greater than 600 MHz requires a split plane Flex-ATX board like the Intel® Desktop Board CA810e.
Please contact your motherboard manufacturer to determine if this processor is supported on your motherboard.
I don't know if this directly applies, but maybe it will help you clarify the issue. Also, it is of interest that the 533A uses a nice round number of 1.5 for voltage. The 633 uses 1.65 V. I know there are a couple of boards that get kind of confused when you ask for numbers which aren't multiples of 0.1 V, for whatever reason.