Is the decision not to tender available lesser included offense instructions an 'important decision' under Strickland v. Washington?

QUESTION PRESENTED Is the decision not to tender available lesser included offense instructions in order to instead pursue an “all or nothing” strategy an “important decision” under Strickland v. Washington, 466 U.S. 668 (1984), such that trial counsel’s decision to pursue an “all or nothing” strategy without consulting with the defendant amounts to deficient performance under Strickland? 1