What ever metering method works for you is the "right" method. To my eye photo #1 is a little underexposed and photo #2 is a little to bright. That said, photo #2 contains more digital data and would allow the most leeway for further processing if desired. It is "exposed to the right" which is the desired exposure in digital photography. Because photo #1 is skewed to the left on the histogram it contains less processable digital data if you wished to make adjustments.
Of course you can't be faulted for trying to get it right in the camera and minimizing post processing.
My exposure method is to use CW metering in manual mode and evaluate the lighting and reflectivity of items in the scene. I then adjust shutter or aperture to under or over expose the meter reading to achieve my desired look for the scene.
As stated earlier, what works for each of us is "right".
Tom From Beautiful Smith Mountain Lake in Virginia