It may seem surprising, but hopefully logical, that you become an "investor" for securities laws purposes when receiving equity awards. It won't hurt to think like an investor. You might ask the company whether they've done any external valuations, and do your own diligence to ascribe some value to the company. You'll also want to get a sense of what the company's plan is and how/when they anticipate exiting, so you actually get something for that equity. You can defer to VC's judgment on liquidation concerns if the companies are VC backed, since that trajectory is typically pointed towards an exit. Ultimately, the value of your share of equity over the time you'll spend working for the company, adjusted for the time-value of money and risk you'll never get to liquidate might help you get out of the current mindset, though maybe it'll often yield the same conclusion.
As I mentioned above, there are big tax issues in all of this. If the company (uses the wrong)/(misuses an) instrument, you can be personally liable for a lot of money, without ever having received any cash to pay the burden. If you get stock, you've received property for services which constitutes income in the US (IRC Section 83(a)). If that stock has no value, you're fine, but need to make an 83(b) election if it vests. If the stock does have value, you need to use an instrument that defers your recognition of income until you have the ability to liquidate (RSUs can do this) or be paid in a combination of equity + cash to offset the tax burden.
Hope this helps you decide whether you want to invest in these clients.