You need to use AB Only bypass mode if you’d like the inserts to remain active when the Program is bypassed. Tails/Spillover will still work with this setting.

Note there is also specific Insert active/bypass controls that can be mapped to MIDI/aux switch: https://cdn.eventideaudio.com/manuals/h90/1.7.5/content/appendix/global.html

You can also bypass either insert using Perform Mode.