So latent heating works both ways. Everything trying to melt now is acting to help cool the air. I always think of it as like a conservation of thermal energy. The ice is trying to go to a higher energy state now (solid to liquid) so it needs to gain heat for the phase change…hence it’s “taking” it from the air around it.
That’s why we tend to rot at 32° so often or frequently see isothermal 0°C layers aloft. So even though the diabatic heating quickly warmed us up to 32°, the melting now is trying to help us stay there. So we’ll see how long the wedge can hold now before the cold fropa blows through later.