Sorry, but this is flat out wrong.
The Tsar Bomba was a 100 MT bomb, period. It was capable of being used in 50 MT configurations but there was absolutely, positively zero chance that the 100 MT configuration would not work. Additionally, the 100 MT version would not have been a significantly different weight or size.
The reason for the 50 MT / 100 MT difference is that such weapons use a mix of fission and fusion reactions. In a thermonuclear weapon you can use natural Uranium (U-238) as a jacket around the fusion fuel capsule. While U-238 doesn't normally participate in a fission chain reaction it will fission when under high neutron flux and as it turns out fusion bombs generate enormous amounts of neutrons. Thus typical thermonuclear weapons leverage the fusion reactions to drive fission reactions and boost yield enormously, resulting in most of the energy from a "thermonuclear" weapon ultimately coming from fission reactions.
The downside of this is that fission reactions are very dirty. And in the case of the Tsar Bomba design that meant that testing the design at a full 100 MT yield would result in 50 MT worth of nuclear fission fallout being spread across the Soviet Union (and ultimately the world of course). Which is rather quite a lot of fallout. By replacing the jackets around the 3rd stage fusion fuel capsules with different materials that do not undergo fission the result is that the fusion reactions still proceed, and the bomb still releases 50 MT of energy, but very little energy comes from fission (the primary, parts of the secondary and the spark plugs in the tertiary stages), massively reducing fallout.
The part about the pilots not having enough time to get to a safe distance from a 100 MT explosion is true, but aside from that had the Soviets wanted to they could have done a 100 MT test of Tsar Bomba quite readily.