If you look at enrollment trends in the Arizona districts with the largest total enrollment losses, look at the Arizona Open Enrollment report and the Quarterly ESA report, you get Figure 1. In Figure 1, both the gains from open enrollment (blue columns) and the losses to other districts and to charter schools (red columns) are presented. The purple columns represent the ESA enrollment of students who live in each of these districts.
Note that the ESA students reside in these districts; many of them were never enrolled in the district where they reside when they enrolled in the ESA program. Some students were already attending private schools, in which case they effectively transferred from the private scholarship tax credit program to the ESA program. Others were in those red columns, attending charter schools and other district schools through open enrollment. Others enrolled in kindergarten straight into the ESA program; others moved in from other states. Others, of course, transferred into ESA directly from their resident district. The purple columns, however, undoubtedly overstate the impact of the ESA program on district enrollments.
Even if they did not, I invite you to compare the red and the purple columns. The financial impact to a district school is identical whether they transfer to another district school, to a charter school, to the ESA program, or move out of the state.