Depends on the strain, but here is what my fresh cut smell experience has been generally.
Growers, don't get too hypnotized by that awesome smell when they're growing in late bloom. When you kill them, the grassiness you couldn't smell in life will crawl out. This is normal as it's the smell of the chlorophyll deactivating... beginning its first stages of evaporation. If you block or turn off your light abruptly during late bloom, you'll smell it.
So harvesting and drying is really a contest between the sweet smell of the bud's potency and the grass smell of this deactivated chlorophyll releasing. If you don't let that chlorophyll grass taste leave the bud enough from drying, you risk retaining grassiness in your jars.
My bud will smell killer while they're alive and right after harvest, but after a few days of hanging, the grassy smell of the evaporating chlorophyll comes out. I used to be alarmed by this as a rookie before I became more familiar with the process. Now I see it as normal.