Yes, anytime a linked field on an address is updated, the corresponding field is updated on all shared addresses regardless of how the address was updated (e.g. through AddressFinder, Address Accelerator, on the constituent's record, through import, etc.) If the address should not be updated in all locations, break the link between the addresses (BB27964).
Note: Only linked fields are updated. For example, if you add an address attribute to one address, this attribute is not added on linked addresses.