Waaait a minute. Just had another read: Automatic Platform Optimization (APO) - How to force refresh page after logging-in? - #3 by yevgen
Bypass Cache on Cookie (Business and Enterprise plans only) — APO applies custom bypass cookies in addition to the default list.
The default list includes:
wp-wordpresscomment_woocommerce_xf_edd_jetpackyith_wcwl_session_yith_wrvp_wpsc_ecwidec_bookly_bookly
Every other cookie you want to bypass would require a higher plan, that supports it. But these should really be enough to bypass every standard WordPress plugin etc.