It's good suggestions if you want to protect your data from phishing attacks, but not everything will work.
Using fake name can cause problems when you will have to take your wallet if it's delivered by courier or you take it from post office. Probably only way to stay anonymous - if your hardware wallet is delivered on parcel machine (don't know how exactly it's called in English). Your name isn't needed there, phone number or email is enough. You'll get PIN code through SMS or email and this code is needed to open doors of that parcel machine.
And if you're using PO boxes, it's impossible to stay anonymous.
One option - buy it from official reseller. But usually resellers have higher price than buying directly from Ledger.