Being in a position of privilege does not imply that everything you have earned you got because of that privilege. You can start off in an advantageous position and still fail or succeed.... and still be worthy of praise for when you do succeed.
Just like in anything else in life... for example, in Basketball it is a 'position of privilege' to be tall. It is objectively easier to succeed in basketball if you are tall, but that doesn't mean that those that DO succeed at the highest levels aren't worthy of praise or somehow did not 'earn' their success. LeBron James has HUGE advantages to being good at basketball, but that just set him up to be in a position where he CAN succeed.. the success itself is still all his achievement.
It's a statement that undermines everything the person have ever achieved.
You only got here not because of hard work, but because of your `white privilege`. It implies a person's success is undeserved. Yes there's probably is an advantage, but the exact how much is highly debatable.