A notable suggestion was the implementation of a sign-only-once scheme. This scheme, unlike traditional methods, allows for a more efficient and secure transaction process, particularly in multi-client environments.

The principle behind this proposed method involves the allocation of funds by the Lightning Service Providers (LSPs) in a leaf, which is determined by the number of clients connected to that leaf. Specifically, it was explained that for a leaf supporting two clients, an LSP could allocate one-third of its funds while only one client is online. This allocation strategy scales with the number of clients, suggesting that for a leaf with N clients, an LSP could allocate 1/(N+1) of its funds when just one client is present. This approach not only optimizes fund distribution but also enhances the system's flexibility and responsiveness to varying online client counts.

Additionally, a potential framework for implementing the sign-only-once scheme without the need for OP_CAT was shared, offering a glimpse into the practical application of this concept. The document detailing these possible constructions can be found at https://eprint.iacr.org/2024/025. This reference serves as a foundational guide for developers and researchers interested in exploring and applying this innovative scheme within the Lightning network, marking a significant step towards improving transaction efficiency and security.