Thus, they'll only use it under the strictest smallest of circumstances where the reward outweighs the risk, in a high profile scenario, rather than rolling it out willy nilly.
Similar to when threat actors use a 0day.. if they use it all the time it eventually gets discovered and fixed. If they save it for a special case they may manage to use it a couple of times before it gets patched.
Of course in reality most browsers don't actually check the certificate logs but only require timestamps signed by certificate logs that prove that at least two certificate logs know of the certificate. A TLA that can pressure at least two logs to provide those timestamps without actually publishing the certificates isn't really stopped. But at least that widens the circle of people who have to be in on the conspiracy.
In a perfect world browsers would do spot checks against the actual certificate logs, and require that the signed timestamps are from logs that are unlikely to be influenced by the same actor (e.g. a Western, a Russian-sphere and a Chinese-sphere certificate log). Your guess why we don't do either is as good as mine