You mean someone chooses not to invest because your cap table is on Carta?
Carta has a honeypot of extremely sensitive information. If they are loose on who has access and for what purpose, then I find it almost certain that well connected VCs are getting information out. Something like this going on for so long will have a paper trail. Given the money at stake it's likely someone is going to get the subpoena power and figure it all out.
Even then the onus is pretty big for demonstrating damages for lost opportunity rather than direct financial losses. For example if you called your broker to put in a trade and they missed it and the stock 10x the next day, your SOL even though there is a theoretical missed financial windfall. its a different story if you asked them to close a position, they didn't and then you lost money since the latter actually has tangible losses as opposed to missed theoretical gains.