S3 intelligent tier re-archiving clarification

We have objects in intelligent tiering storage class. The bucket had an intelligent tiering configuration to move objects to Archive Access and Deep Archive access. We removed this configuration, but not before objects were moved to these tiers. For objects in Archive and Deep Archive access, we have issued restore object requests.

I would expect that archiving behavior for restored objects would follow whatever the bucket's current config specifies, and in the absence of an intelligent configuration, I would expect the default behavior of objects being moved only to the Archive Instant Access tier.

However, the documentation on restoring objects is unclear:

When you restore from the S3 Intelligent-Tiering Archive Access or Deep Archive Access tiers, the object transitions back into the S3 Intelligent-Tiering Frequent Access tier. The object automatically transitions into the Archive Access tier after a minimum of 90 consecutive days of no access. It moves into the Deep Archive Access tier after a minimum of 180 consecutive days of no access ...

This reads like objects restored from these tiers will always go back to archive or deep archive if not accessed, regardless if the bucket is only configured to move objects to Archive Instant Access. Is this actually the case? Or do restored objects obey the bucket's current config like one would expect?