Not exactly.... while you're correct that about the energy usage, the heat pump may not be able to supply enough heat in the winter. In that case usually you have electric resistance heaters to make up for it. Apparently, if you read the patent on the thermal system in the Y, it has some low voltage heaters that can cycle on to apply extra heat and Tesla can run the compressor and motor in a less efficient method to generate heat. Those will all generate more heat, but at the expense of more energy. The heat pump SHOULD increase range, but I'll be very curious to see if it does at 20F ambient air or something...
(Most heat pumps in houses suck below 35F and only provide about 1/3 the heating capacity that they're rated or sold as. I believe the rated capacity is tested at like 48F. There are some low temp designed heat pumps which are optimized for and tested in sub 30F temperatures but those are harder to find and usually aren't from the big name brands out there that American's known. I hope Tesla oversized the unit for the Model Y and it does well down to freezing temps and it's only when it gets down into the teens and single digits that it needs electric heating help... but it's yet to be seen.)