so lets say authorities wanted to know what 1R4nd0m4ddr355blahblahblah bought.
they would need to search the whole internet and hope that owners of 14n0th3R4ddr355blahblahblah is made public, or they would need to contact every bitcoin related company and ask if they own 14n0th3R4ddr355blahblahblah.
if purse.io admitted they owned 14n0th3R4ddr355blahblahblah.
Why will purse.io or anyone admit the authority in first place that they own that address? Why will they ever need to reveal the addresses they own? Neither can the authority hack your website's database and see for themselves. So what's the point of making the owner of an address public!

exactly my point.. and why i said they authorities would need a warrent to do that. and the only way to get a warrent is if there is proof of criminal activity..
which i then said if the OP is only doing legit transactions he would never need to worry about such warrents being issued. and should only worry about friends and family spying on him via other means