Yes there several indicators used by Amason (1996) included commitment to decisions, understanding of decisions, and affective acceptance of decisions.
Long term commitments, participation of top management,,
check for succes factor for sm here is my conference paper in researcgate for you.
An Application of Strategic Management to the Public Sector: What Accounts for Adoption of Reinventing Government Strategies across the States of the United States
The chosen strategy should focus the resources of the firm to achieve competitive advantage. If it is a simple one (eg. volume through price advantage to gain market share), then the effect can be easily measured. If it is more complex (eg. technological leadership), then I would practically go for a bespoke metric. I cannot think that a "framework" will fit it all. Greetings, Marcus
Although the (essentially) undisputed purpose of strategy is to achieve the org's mission, I do not know of any works that attempt to measure this, unfortunately. Perhaps yours will be the first?!