The distinction between renters insurance and Business Personal Property (BPP) is simple:
-Renters insurance covers individual personal property/liability.
-BPP covers business personal property and business interruption.
A renters policy will not cover damage or loss to any equipment used for a business.
Landlords often will confuse these terms as well so if your business rental location's landlord asks you to get renters insurance, they typically mean you need to get BPP coverage and general liability coverage.
If your home residence landlord asks you to get renters insurance, then you need to get renters insurance.