Several years ago I got some slot-1 processors that came with very lightweight passive heatsinks which resembled folded up tinfoil. I wonder if that's the heatsink you have.
It had to be the cheapest heatsink ever, I couldn't believe they were serious. These were all over ebay, and I think a bunch are still floating around. I remember one of the tinfoil CPUs had an identifying mark that I traced to some brand like Compaq, or whoever it was. It definitely wasn't a retail setup.
My guess is that these came out of systems that originally had a bunch of airflow going past the processor. I could imagine them being used in rackmount servers, which can be like a wind tunnel. Tons of obsolete server parts get liquidated on ebay so I think this may be likely.
I wonder how many people bought them for a conventional PC without doing anything to cool them. I wonder how well they handled that.
Luckily they were SECC-2 style so it was easy to swap some heatsink/fan assemblies from less interesting CPUs.
I've seen the pin-style passive heatsinks in an IBM Intellistation. The only active cooling they had was a ducted exhaust fan, so it wasn't entirely passive but they didn't need much help apparently. I never measured how hot they actually get though.
I have a P2-400 (old SECC1 style) with a thick passive heatsink on it. After stressing it for a couple hours, I burned myself when I powered down and grabbed it. The heatsink turned into a skillet. It was a shock to realize how hot it had been running.
Overall I'm not comfortable with fanless setups. A little airflow goes a long way. Undervolting/clocking changes things though.