The three Hive that gets burned is more about preventing a Sybil attack where one person would create millions of accounts for free. In general all blockchains are very inefficient and can't afford to give these things away for free.

If you know anyone that needs an account I have thousands of account tokens saved up. I got these tokens for free using resource credits. These accounts don't cost 3 Hive. With 200k hive power I can claim about 8 of these tokens for free every day.