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tokens: Acknowledgements We thank the referee, Ruobing Dong, for constructive comments that helped improve the manuscript. We are thankful to A. Triaud, Z. Zhu, R. Nealon, C. Manara, and J. Huang for insightful discussions. We thank S. Barenfeld for sharing his ALMA data of HD 143006. M.B. and M.V. acknowledge funding from ANR of France under contract No. ANR-16-CE31-0013 (Planet Forming disks). This work has been supported by the diskSIM project, grant agreement 341137 funded by the European Research Council under ERC-2013-ADG. P.P. acknowledges support by NASA through Hubble Fellowship grant HST-HF2-51380.001-A awarded by the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA, under contract NAS 5-26555. The figures were generated with the python -based package matplotlib ( Hunter 2007 ).