Strategic test is an organizational level term which is applied for all the projects in the organization with small customizations
Test plan is project level term and which can be applied for that specific project only.
Test plan is a strategic document which describes how to perform testing in an efficient effective and uptimes way. Quality lead test lead can prepare this test plan
Strategic test plan is an already or new test plan which can bow used in the future for another project also with some changes in the same organisation.