What doesn't follow is electricity consumption per BTU produced, ie. if your heating source efficiency is non-linear, such as a heat-pump + resistive fallback heating. You can easily consume 8x the amount of electricity with a delta T of 60 than you do at 15.
In reality, outdoor air temperature alone isn't indicative of the entire building heat loss/requirement - ground temperatures don't respond linearly to air temperatures. Likewise, there are some oddities that come into play with high temperature deltas such as phase-change of materials or outright failure in some cases. Precipitation and wind can also affect thermal efficiencies.
A bitter-sweet example for Texans: The snow can actually provide some insulation. It would be worse if you had no snow and similar air temperatures than getting that 12" of fluffy stuff later this week.