In order to get the "It is recommended to install automated_cron or..." message, you must have automated_cron AND ultimate_cron enabled to make it go away when only one should be required.
In ik_constant_contact.module on line 135 the check should be:
(!$this->moduleHandler->moduleExists('automated_cron') && !$this->moduleHandler->moduleExists('ultimate_cron'))
that way as long as one of them is installed this check will return false-y.
Right now, as an OR check, as long as one of them is uninstalled this message will show.
1. Install fresh Drupal 10 instance.
2. Install ik_constant_contact module.
3. Install automated_cron module.
4. Navigate to /admin/config/services/ik-constant-contact and notice the warning message about cron is still there.
Update the if check to be AND so only one of the modules is required.
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Fixed
3.1
User interface
Issue #3423000 by rosemaryreilman: Cron warning message always shows
Code change has been made of dev branch 3.x as well as will have a new release 3.1.6 shortly.