SMKettner in SoCal who doesn't post here anymore, have set an example years ago, when installed 660W and after a season decided to leave his genny home. IMO, applies to most of Southwest, save for A/C run. Back then 660W was considered big. Your 1000W is huge.
My 500W at Lat 41 in winter harvests almost nothing when it rains, 10AH at best. But, since 10AH is ~1/3 of what I use on some days, and since it doesn't rain often in desert, I'm not worried. That it, not worried that there is no genny to exercise :)...
Your numbers - downscaled to 500W - agree with what my system "would" harvest if given a chance. The problem is, I'm below its capability most of the time. Controller drops to Float (current-based termination of Absorption stage, not a forceful timer) at noon or earlier. Life is good when it's sunny (and not too hot).