The standard yellow cooler remains a crutch rather than a functional cooler. But the 40x40mm aluminum cooler is much more massive and it is also cheap. Depending on where you buy it, it costs just $4-10 and can be used with any 40mm fan. Of course, it should be mentioned again that the Noctua NF-A4x20 should be preferred to achieve the best performance and noise level.
This cooler comes with steel pins for mounting, which works well with a lot of finger sensitivity and swearing. The connection is very fragile, the cooler can twist when mounted and possibly damage the ASIC on the Bitaxe. Likewise, the ASIC processor on the Bitaxe can be damaged if the mounting screws are tightened too much.