On second thoughts I guess you do need the 'linkability' property as in Monero, because you don't want someone double-signing, that is, for input A, you don't want them to be able to submit an output set of address and amounts twice. But ...

this is where the lack of detail matters. Is it intended for construction equal-amount coinjoins? It seems like that's tacitly implied, and that the output address set that each participant sends is supposed to add up to some fixed amount. That's a whole can of worms already (see Wabisabi). And/or: what about change outputs? Depending on the model those could be sent along with the inputs, or over separate network identities.

TLDR this is just a vague idea, not a proposal, I think.