Please no spoilers about the third book
In the beginning of the Dark Forest we learn about Trisolarians attempting to understand (and learn) the concept of deception. They do acknowledge its value, and they do exhibit ability to withhold information. From the beginning of the book I thought this is going to be the key to resolution of the whole book, and it ended up not being addressed at all.
You see, Trisolarian society is built on perfect communication and open information sharing, but they still individual beings, they aren't a hive mind. Ability to deceive or even withhold information would be extremely powerful tool for the individual Trisolarians for gaining power and political advancement within Trisolarian society. I thought that Deception will be a poison pill that defeats Trisolarians - an unintentional, self-inflicted injury that breaks their society apart. We know they do have internal politics, ambition, punishment, so plenty of reasons to deceive. And the best part is that Trisolarians don't even have mechanisms to prevent or even detect deception since they are not familiar with the whole concept.
Even if Trisolarians aren't capable of deceiving "face to face" or "biologically", their society is now split between thousand ships and they have to rely on "digital" communication. The book explores the idea of deception used by humans being a threat to Trisolarians, but that's in my opinion the lesser concern.
While Trisolarian society certainly could adapt to the concept of deception over time, I don't think it's likely at this point. It's in very vulnerable position - split among numerous ships, with no home to return to, facing the doom of their species if they fail to defeat humans and capture the Solar System.
And the worst thing is, they don't even need to use deception against each other, even the concept of distrust might be enough to halt their social interaction to grind.
Unfortunately, the ability of Trisolarians to understand and use deception was never mentioned again, and the danger it poses wasn't even acknowledged.