Frantz,
Stating that a generally accepted fact is a myth and linking it with your general feeling about audiophiles is derogation. Sorry. We are addressing the exceptions in the successful cases we refer - happy to know this time we consider that extra money well spent. Go to ebay or a general DIY speaker shop catalog and look for the typical 18" woofer that is being sold there. Most are around usd 100. They will probably sound slow.
Considering that the same engineering problems exist in a small and in a large woofer shows you are not considering that speakers having small woofers usually have many woofers. In general, no one will try moving the same amount of air with a small woofer than with a large one. Of course, bass is an engineering problem and engineering problems have many solutions, some are more cost effective than others.
My other experiences from the past - the first model of the KEF 105 and the original B&W 801. Both the 105/II and the 802 (similar models using each two smaller 8" woofers had faster bass. Another slow bass - the Snell type A. A fast bass with many woofers - the Revel Salon2.
Ok, I reformulate
- if cost is a concern, most probably a large woofer means "slow" bass.