I think you're fundamentally Misunderstanding what GDP is and what GDP capita is. GDP is the value of goods or services created. But in many cases those services represent the value. So what winds up being included is just the wage. For example the wage of a government worker, which represents 25% of all jobs in Canada, is included in the GDP. The wages for many other sectors are also included in the GDP.
In addition you're not taking into account corporate disbursement such as dividends. Dividends are not retained by the corporation, and are very frequently paid to pension funds and workers directly if they happen to own shares in the company. Many companies also have Various forms of profit sharing along those lines and that would be after corporate earnings. Many middle class people own stocks as part of their retirement portfolios or rrsps. They would also benefit from those dividends and the corporation would not
So it wouldn't be accurate to say that at all. I guess you could sort of say there's a sort of a kind of relationship but not really.