This suffers from the same problem as the article's algorithm: it is fine until you need to change one of your passwords. Say a site gets compromised, or for whatever reason you need to change your password. Now what? You need to change all your passwords in order to be able to use this method, or you need to remember one different password, or remember that you need to do <website>.2 or something. Either way, you're back to relying on memory.
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> it is fine until you need to change one of your passwords
For me, this happens less often than once a year. And then it is a good idea to change all passwords anyway.
The alternative is to store passwords somewhere in a password manager. However if this storage gets somehow lost/compromised ALL of your passwords get lost/compromised.
I had my mail account "suspect" a compromise 4 times in 2 months (no idea what triggered it) and forced me to change my password 4 times.