Dairies around here chop and ensile all their first so they don't have to worry about rain or losing quality. Then they can focus on getting the best quality out of 2nd - 4th cuttings.
This is us pretty much. Manage our closer to home straight alfalfa fields aggressively enough to chop first cut around 10% bloom. Although that was almost third week of May when it was 6" high this year. Thankfully it rained a few inches during the last week of May, so it was kinda only 20% bloom but 3x as high when we took it during the first week of June.
Our further away fields, and anything mixed or straight grass, gets done as reasonably soon after chopping is done. We are still cleaning up a few fields right now, may be able to take a second cut on the straight alfalfa in a few weeks. We've only taken a third every 5-6 years, never a fourth as far as I can remember. Life on the edge of the palliser triangle....