I see that discussion is about safety of wallets, but i think that the topic question is about of whether investing in Bitcoin is safe.
In fact, Bitcoin is still in experimental phase, so it is hard to say that it is completely safe.
To be honest, at the moment, more important it is the belief that Bitcoin succeeds.

Yeah I mean a wallet is only as safe as you make it. A password protected wallet is safer than a wallet in your pocket though is what I believe. The investing is safe imo now that halving is around the corner.