Wire also syncs conversations across devices, unlike Signal that's tied to one device (a phone).
You can have multiple accounts on Wire, just like you would use multiple email addresses, each one for different purposes.
Wire is still way behind Telegram on UX, but is a good option for those who don't want to use a phone number or give their phone number to some centralized service. You set usernames and can @mention them (a recent addition to the client — I'm mentioning this as an example to indicate how far behind it is from Telegram, which had this a long time ago).
Lastly, Wire also allows you to backup your chats and restore them on another device. Signal explicitly blocks this from being done.