There's some discussion about a similar launch ~10 years ago (in that case going to L1) https://www.reddit.com/r/spacex/comments/2vb5kv/1second_laun...

Based on that, I guess the one upside would be that you have the window available every day as the L1/L2 positions never move relatively. Unlike a launch to Mars or other solar system body where you definitely want everything to be lined up efficiently.