The metaphor does not refer to the finished building but to the building process

It works for me. Cathedral is analogous to free software being a religion. It is a theocratic worldview that has a zealous following that must apply the rituals of old. Bazaar is the marketplace. It is supposed to be a efficient market metaphor for software being transactional and not relational.

Is this a perfect metaphor? I think its a rigid way of looking at software on either side. I think it is more grey. I like the merits of both sides.

That is not what Eric S. Raymond (esr) was describing.

GNUnix was developed using the Cathedral-style, Linux was developed using the bazaar-style. How Linux development was coordinated was thought to be impossible for something that had to be as solid as an operating system. The essay is a deep dive, exploring the conditions that the Linux project needed to ship an OS.

But ESR believed in right wing, libertarian adjacent politics. He's advocating for deregulated, free market ideas in the form of criticizing GNU. In doing this, he was seeking out the preferred metaphor and working backwards, rather than describing what is.

The “unwashed masses” are the end users; both “cathedrals” and “bazaars” welcome all users to partake without demanding an entry fee. The difference between a “cathedral” v. a “bazaar” is whether or not those “unwashed masses” are easily able to become the “staff”; the analogy hinges on the relative difficulty required to join the “clergy” v. become a “merchant”.