Lysis is either a megalomaniac psychopath or possibly a young boy who is not quite grasping. the import of what he is agreeing to. He agrees with Socrtes that he should be entrusted by all and sundry around the world with any technē at which he is considered to be the best. This is a little complicated by Socrates adding himself to the mix. The whole world should entrust Lysis and Socrates together with any technē at which they are the most proficient, and then they would be free to do whatever they desire, and would be masters of others rather than being subjects of others. Lysis seems to be unaware of argumenta ad absurdum.

Here I read through Platonic dialogues, translating and commenting on the Greek text as I go.

The resulting analyses may be found at:
https://theplatoparadigm.com

The full analyses include Euthyphro, Io, Hippias Minor, and Lysis, with extract/summaries from my books on Hippias Major, Meno, and Politeia (Republic)