The landlord/tenant thing would be mitigated by publishing the energy cost of the property to allow price comparisons.

If prospective tenants knew the energy costs of the different options when looking, a place with higher energy costs would then attract a lower monthly rent (commensurate with the difference in energy bills) than an otherwise identical place with cheaper energy costs. Tenants would ideally see the combined cost of rent+taxes+energy+bills when comparing places.

Edit: perhaps this could be an idea for a website.