Schools that require the SAT2 tests for admission will need the SAT2 results, and the remainder of a complete application, before issuing a likely letter. Some schools and sports apparently require candidates for a likely letter to submit an ED or EA application as a predicate to support for a likely letter, others do not. The timing of issuance of a likely letter after the complete application is filed will depend entirely on what the particular school’s process of review is (committee, director of admission, etc), how often that occurs, and where the particular sport “stands in line” for review.
Schools can get a formal pre read done after July 1 that I believe serves the purpose outlined by @bluewater2015 and, at least at some schools for some sports serves as the required predicate before extending an official offer of support.