The only problem is complete transparency on the blockchain.
I'd prefer my employer not know my bitcoin wallet, previous and future bitcoin transactions. The same way I don't show them my bank statements month to month.
And yes, I'll not be willing to use mixers just to get locked out of the tradfi world and make myself another struggle cashing out btc for fiat.
Why is that such a big issue? I mean, they might know your receiving address, but not keyes, no way they'd be able to get access to your wallet. And they wouldn't know where exactly would you send it.