1) Purely as a sign of disrespect to employees, I'd never work at a company where founders sold shares and employees never had the opportunity to. I think it is a very meaningful proxy of if the founders care about their employees or not. If founders want to have a policy prohibiting employees and themselves from selling shares, I'm perfectly fine with that (though I'd want to know that policy exists), but not founders get to sell and employees can't.
2) More importantly, a secondary share offering means that at some point in time the common shares were worth enough that somebody bought them. That is a good sign that at the time when the secondary sale was happening, the company was going well. If the secondary sales are ongoing it also gives you a realistic estimate of what the shares are worth right now. This is pretty rare but I think at least a few large "unicorn" companies have regularly scheduled secondary share sales.
1) If there has been one in the past, you may reasonably expect another one in the future. They may even reveal that they have secondary sales at regular intervals. This derisks your equity illiquidity somewhat.
2) If there was a secondary sale where only part of the "leadership" participated, then that's at least a yellow flag for management's attitudes towards its workforce.