The hidden truth behind Donald Trump’s Covid diagnosis

In most Covid-19 cases symptoms display 4-5 days after a positive test. Assuming Donald Trump has had a test every day (as he has claimed) and he first tested positive on Thursday 10/1 his symptoms shouldn’t start until 10/5 or 10/6… yet he was admitted to the hospital on 10/2. Does this mean the tests he has been taken aren’t effective? Maybe, more likely he either hadn’t been tested or new he had it but carried on not caring who he infected .