Relevant to this discussion, Chromebooks that will never get Linux support as seen here: https://9to5google.com/2018/11/01/chromebooks-to-never-receive-linux-full-list/

Acer AC700 Chromebook Acer C7 Chromebook Acer C720 / C70P / C740 Chromebook Acer Chromebase Acer Chromebook 13 (CB5-311) Acer Chromebook 15.6″ CB3-531 Acer Chromebook 11 (C730 / C730E / C735) Acer Chromebox ASUS Chromebit CS10 ASUS Chromebook C200 ASUS Chromebook C201 ASUS Chromebook C300 ASUS Chromebook Flip C100PA ASUS Chromebox CN60 AOpen Chromebase Commercial AOpen Chromebase Mini AOpen Chromebox Commercial AOpen Chromebox Mini Dell Chromebook 11 Dell Chromebook 11 (3120) Dell Chromebox Google Cr-48 Chromebook Google Chromebook Pixel (2013) HP Chromebook 11 G1 / G2 / G3 / G4 / G4 EE HP Chromebook 14 HP Chromebook 14 G3 HP Chromebox G1 HP Pavilion Chromebook 14 Lenovo 100S Chromebook Lenovo N20 Chromebook Lenovo ThinkPad 11e Chromebook Lenovo ThinkPad X131e Chromebook LG Chromebase 22CV241 & 22CB25S Samsung Chromebook (2012) Samsung Chromebook 2 11″ / 13″ Samsung Chromebook 2 11 – XE500C12 Samsung Series 5 Chromebook Samsung Chromebook Series 5 550 Samsung Chromebox Series 3 Toshiba Chromebook Toshiba Chromebook 2 White label Enguarde White label Expresso White label Heli White label Jaq White label Jerry White label Mighty