Yes. That's certainly possible and appropriate. Interacting with Bitmatrix protocol is non-interactive, unlike atomic swaps and Lightning. This makes it easier to interoperate with other platforms.

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Would it be possible to use something bitmatrix as a routing service so other platforms and wallets could route trades through you so for example wallets could have seamless swaps without leaving the app and signing inside their wallet UI or P2P exchanges could leverage it for easier access to liquidity 