> most 60 watt panels will only output 50 watts
The difference usually has more to do with voltage suppression due to cell temp above lab conditions (25F, about 0F ambient).
> with the charge controller
Even without a controller. A panel attached to a battery the panel will be run at battery voltage. This is why PWM is said to "waste power" and the secret to how MPPT controllers maniupulate panel voltage (and therefore power).
> as the panel is usually rated at maximum current TIMES Maximum voltage
The panel is rated at Vmpp: voltage at which the panel puts out max power under lab conditions. This is usually far away from Vmax (max voltage, open circuit) but generally in the neighborhood of Imax (max current) because current is usually pretty flat across the power curve.
> and as we use 12 volt batteries with 20 volt panels
Hence MPPT.
> ,,,the math will always be FUZZY.... they still don't add up.
A look at the panel's power curve will clarify the situation greatly.
OP: non-controller or pwm controller scenarios work best when the panel's Vmpp is close to Vbatt (battery voltage). A mono panel (higher than usual voltage) and lithium pack (lower than usual voltage) are not matched very well. This is one of those situations where more expensive (or more mindshare) is actually counterproductive.*
related info:
* that and AGM charged by solar, but don't get me started