How would that help?
You don't even take advantage of your own public blockchains transparent simple math ledger.
Every block do you make sure yourself that [all inputs] = [all outputs] yourself? Or do you just run a node like Monero users? In practice your argument falls apart.
Trivia: Did you know there was a hidden inflation bug in Bitcoin that only an anonymous user knew about? They couldve easily exploited it, but very luckily they were an honest actor who secretly let the devs know (who couldve also decided to exploit it). If they did exploit it, how would detectable inflation help after the fact? It wouldnt. It would be catastrophic for bitcoin and attackers have first mover advantage. There is no good solution to fix an exploited inflation bug without hurting other users.
https://bitcoincore.org/en/2018/09/20/notice/
www.coindesk.com/markets/2018/09/21/the-latest-bitcoin-bug-was-so-bad-developers-kept-its-full-details-a-secret