Signal requires phone numbers and is a centralized service. HushChat is completely anonymous and decentralized and requires absolutely no metadata be given to any centralized 3rd parties.
HushList is a protocol first published in 2017, which describes how to use Zcash Protocol for various communications use cases,
including censorship-resistance: https://github.com/leto/hushlist/blob/master/whitepaper/protocol.pdf
## Will HushChat store messages on the blockchain like HushList does?
Yes, data must be stored on-chain to have censorship resistance and HushChat can be thought of as a "flavor" of HushList.
Users may choose between storing data on the *public* Hush blockchain or their own Hush Smart Chain (which could be public or completely private) : https://github.com/myhush/hush-smart-chains
## Isn't it a bad idea to store private data in a blockchain?
It depends on the needs of the user. Currently, many users give all their information for free to various cloud companies
who constantly mine their personal data which can then be sold to advertising companies who want to influence thinking and purchases. These average users have a lot to benefit from controlling their data, wrapping it in multiple layers of encryption and enjoying censorship-resistance. For those with more strict needs (say a Healthcare company), a dedicated Hush Smart Chain
with access controls, such as needing to be on a certain VPN with a special user/pass to connect to the network, could be used.
Ultimately, to prove to others that something happened or to easily communicate with others, a public blockchain will be the primary use case. It also provides a meeting place for users to come together and then spin up their own Just-In-Time specific-use-case blockchains.