"The zero-inflation model estimates the probability of an extra zero such that a positive contrast indicates a higher chance of absence [...]; this is the opposite of the conditional model where a positive contrast indicates a higher abundance"
So, answering your comment, it is indeed the likelihood of zero (the alternative being "not 0" rather than 1). By the way the ziformula also allows you to add random effects, just like in your conditional formula.
Pages 382-383 explain all components of the model summary:
Brooks, M. E., Kristensen, K., van Benthem, K. J., Magnusson, A., Berg, C. W., Nielsen, A., Skaug, H. J., Machler, M., & Bolker, B. M. (2017). glmmTMB balances speed and flexibility among packages for Zero-inflated Generalized Linear Mixed Modeling. The R Journal, 9(2), 378-400. https://doi.org/10.32614/RJ-2017-066