There is a fundamental flaw in this explanation, however. In "conventional" aircraft (i.e., not canard or tandem-wing), the horizontal stabilizer actually provides a DOWN force, not an "up" force contributing to the overall lift of the design. It is there to "balance" the aircraft. The lift vectors you drew should be down for the horizontal stabilizer. NASA has a nice explanation: https://www.grc.nasa.gov/www/k-12/airplane/trim.html
Cheers!
Rusty