Hi Fabien, yes, yes! Great to take this to beta level!
I've just tested signing the "Steem-uri" and it works flawless on https://SteemWallet.app which means people can also sign & broadcast SteemConnect based links with their mobile third party wallet.
For this I encourage you to change the "Open Desktop App" link to something more device agnostic, or detect when a user is on mobile :)
SteemWallet.app supports the steem-uri spec out of the box and your release is a great step forward!
yeah when i click ;Open desktop app" it tries to open @vessel made by @jesta for me :D
also i get this windows defender warningwhen trying to install desktop app for new prelrelease of steemconnect desktop app
https://github.com/steemscript/steemconnect/issues/398