Yes. Your Structured Pro subscription will be transferred to all of your devices, as long as you are using the same Apple ID on them.
If your Structured Pro subscription does not automatically appear on a new device, you can activate it by restoring your purchase. Go into your ⚙️ Structured Settings and tap the large Structured Pro banner. On the paywall, scroll all the way down and select the option Restore Purchase. If this is not working for you, check out: I lost my Structured Pro subscription.
iCloud Family Sharing
iCloud Family Sharing is a feature from Apple that allows you to share eligible in-app purchases and subscriptions with your family members. Once you have activated family sharing on your iCloud account and invited your family members, they will be able to also use your Structured Pro subscription at no additional cost.
To enable family sharing for Structured, select your name in the Settings app and tap Family Sharing. After you have invited your family members, you can enable Structured Pro under Subscriptions to share it with your family members.
It might take a couple of hours for the subscription to be enabled for other family members, and they might need to hit the Restore Purchase button on the paywall.
If you still cannot use Family Sharing for Structured after following these steps, please contact the customer support.