Hoge and SafeMoon have been tried before, and failed.
Cryptocurrencies with built in deflationary mechanisms are not new. Though Hoge and SafeMoon differ in burning half of the transaction tax and proportionally distributing the other half to holders, they are functionally identical to previous coins that just burned the tax. In either case holders' fractional share of available coins increases proportionally.
If you want to buy Hoge or SafeMoon, my *not financial advice* is to recognize that it is a zero-sum speculative gamble that is unlikely to get more than one good bubble out of it before fizzling away into nothing. Ignore the shill in the linked AMA claiming it will turn $100 into $100,000 in 10 years.
Here is how past deflationary tokens have performed: