B41: 25MT, retired in 1976
B53: 9MT retired in 2011
B83: 1.2MT retired 2022
B41: 25MT, retired in 1976
B53: 9MT retired in 2011
B83: 1.2MT retired 2022
Despite its dearth of tactical (or strategic) uses, the B41 is a marvel of engineering assuming it does what it claims; 25MT from 5T of mass is crazy efficient.
As you mentioned, fallout is greatly decreased by the reduction in warhead size. Additionally, as airbursts are more effective at causing damage, they have taken precedence over ground bursts, and have a substantial impact on the reduction in fallout.
The concept of a nuclear winter is primarily related to the expected firestorms in cities and forests, which would throw colossal amounts of soot into the air. With infrastructure devastated by the strategic weapons exchange, the resources to effectively fight the fires weren't expected to be in place, so it was thought they'd burn out of control. While there has been debate over how realistic it is that a nuclear winter would occur from a strategic nuclear exchange, nobody doubts that it would be catastrophic.