You would be wrong, then. In fact, for any tier 2/3 player, the only way to get I/I2 parts has been as part of an Intel built-and-tested system bundle.
I don't believe that intel makes any I2 systems. AFAIK, the vendors make the systems.
You guys are hilarious with all the slams.
Anyway, Intel is a massive producer of system platforms for all their chips. Lots of white-box vendors, more pejoratively known as screwdriver shops, sell exclusively Intel systems from chip to sheet metal, which they slap a little sticky label on and call their own model. This is how Intel attempts to preserve a multi-vendor environment, by enabling little guys to offer products that compete with Dell & HP.
Intel calls this group Intel Server Platforms. Here's an Itanium2 example: