Can you please elaborate on why do you think it adds privacy? Please explain this to me.
Also, if you want o avoid the delays that your transaction might face you need to keep a couple of things in mind:
Firstly, avoid doing transactions while the network has a very high workload.
Second, avoid doing transactions while the BTC price is drastically volatile.
Lastly, if during the mentioned times, you need to do an urgent transaction and you cannot wait, simply use stable coins like USDT trc20 or USDT erc20. I'd recommend trc20 because it's much more faster and incurs lesser fees.