Power with 20v drill battery?

Official Hardware MKR Family MKR NB 1500
1

I'm new to powering an arduino via a battery. I'm looking to power a 1500 on battery for as long as possible at a reasonable price in an always dark environment with a battery that is smallish and portable. Car battery isn't an option.

Should I be able to power the 1500 longer using:
20v 4ah dewalt battery with a buck converter to usb in (something like MPM3610 5V Buck Converter Breakout - 21V In 5V Out at 1.2A : ID 4739 : $5.95 : Adafruit Industries, Unique & fun DIY electronics and kits)
or
3.7v 4000mAh lipo generic battery

If I understand correctly the 20v battery has 80 watt hours vs. 14.8 watt hours for the 3.7. I'm not sure if that means longer run time or not. I also don't know if the buck converter reduces efficiency either.
Are there better options?

2

Looks like it wants to run off 3.3V, so I'd give it that.
Pick one out here and go for it.

or compare specs to the Adafruit part.

20V, 4AH is > 3.7V 4AH
You can tell just by looking at their sizes.

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