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The energy to change phase, the latent heat of vaporization, does decreases. Enough such that the ambient temperature is able to supply sufficient heat for vaporization (that is, boiling). The latent heat of vaporization is temperature and pressure dependent for most materials.
I do agree that at some point ambient temperature does the job, which is obviously super convenient.
Akshuly, the charts I can find on the subject of enthalpy of vaporization vs pressure say the opposite- it increases at lower pressure
For example: https://www.researchgate.net/profile/Benjamin-Furst-3/publication/267596645/figure/fig3/AS:879933274456065@1586803849792/The-enthalpy-of-vaporization-saturated-vapor-density-and-volumetric-energy-density.ppm
I could have gotten it backwards. Depends on how the system is being defined and which direction the heat is going.