Be careful with the v2 lens, the front optical group can be dislodged/rotated. I never had any trouble with the V1 lens before I traded up.
I had to send mine to Leica for repairs three times and ultimately they replaced it. I sold the brand-new replacement and bought a new-old-stock v1 and am glad to be home.
The v2 in my experience wasn’t any sharper on my M262 or M9 Monochrom, but did seem to have a flatter field and slightly higher contrast. Both are beautiful in how they render, with the v2 being a bit more perfect (clinical?) and the v1 having a bit of a classic render to it.
Both are outstanding, but I haven’t looked back since returning to the v1, which is probably my favorite Leica lens.