One big problem with Odd/Ed/Alta is the outgoing data isn't buffered beyond Windows itself. If there's any considerable latency at all, and data isn't able to be sent immediately, instead of simply buffering the data to be sent, it won't encode new audio coming into the plugin. That's what can cause the skipping even if it's not reconnecting.
The encoder in BreakawayOne buffers the outgoing data and will send it when it's able to, with no skips in the audio. It will only reconnect if there are much more serious issues with the connection.