The industry (edit: planes in particular) is also decades more mature, as is manufacturing in general.
However, it's impossible to argue that deregulation made flying more dangerous, as the GP believes, simply because flying didn't become more dangerous. Sure, maybe we'd be even safer in the air if price deregulation hadn't happened, but that requires an impressive amount of handwaving. Overall, the tradeoff seems to have worked out incredibly well for everyone. The only people who are really in a position to object would be climate researchers.
A lot depends on your overall marketing. The airline can make money on a "stupid tax", e.g. people who didn't check twice the max. allowed weight of their baggage and have to pay a 100 USD/EUR fee for that single extra pound. I have seen it more than once.
People being people, you can almost rely on this happening frequently enough.