Kylie is right! Domain specificity should have the advantage that it has higher sensitivity for changes in one domain as well as higher explanatory value. However, don't be surprised when these domain specific SE sometimes load on a single factor. This often happens in health behavior research, probably it seems to be hard for people to differentiate when answering questions about it. But as you might guess, this is also pretty much related to the wording and how different your domains are.
Depends on the aims of your study and definition of the endurance. McAuley's exercise self-efficacy questionnaire asks how confident do you think you can do physical activity for 40 minutes next week, next 2 weeks....next 8 weeks.