You are very correct on this, I was optimistically assuming. Maybe in the absence of drawbacks my assumption stands. But the real meaning of the statement is that new companies should try to do the right things, having reputation and customer satisfaction as their key objectives. That if they continue this way, then their company would be aging and getting trusted.

So, to be correct in my above statement, I have to rephrase it thus, "every old and trusted site, was once a new and untrusted one"