When using PGP, you have to decide how much you trust each key. All that PGP does is enforce your trust preferences.
Moreover how can you "transfer" the trust to other people? If you proxy/give tarball to someone else, then how can you prove that you did not tamper it? Again, with detached signatures people knowing public key can authenticate it, without connecting to Internet. With TLS there is only single distribution point (TLS website) that can not transfer trust to someone else.
What CA should be used for certificate issuing? Paid one? Not an option if you do not want to support PKI business model (it is business, not security). CAcert.org? Modern browsers and operating systems does not include its certificate too. So anyway you have to get its public key too somehow.
So, TLS has the same problem of getting the public key and is less convenient in use, requiring TLS-aware webserver (instead of cheap providers with static pages hosting), without ability to transfer trust (send signature separately) to someone else. OpenPGP keys (for www.cypherpunks.ru websites), comparing to CA ones, can be received with several (!) keyservers (many of them replicates between themselves), several (!) DNS servers (listed as NS record), through various transports (VPN, proxy, Tor) to one of webservers (listed as A/AAAA record).