As mentioned in several other sources and mailing lists(TomEE, for example), the performance gain, if any, is negligible especially when you compare it to the overall request-response processing chain.
If you use Spring Boot, you will find a lot more community support and flexibility in terms of features for Jackson.
Jackson has tons of different modules and good support for other JVM languages(for example KotlinModule).
We, in my project, also use quite a lot of Clojure, where we use Cheshire, which relies on Jackson under the hood.
In the end, it's up to you what to use and whether the cases I mentioned are applicable to your project, but so far I haven't seen any compelling performance reports about Johnson and until it happens, I would go for a library with a lot higher adoption in the industry.