That seems unlikely, since they didn't find any correlation between baseline depression and future goals, only between baseline goals and future depression.
"Greater within-subject increased goal persistence (but not positive reappraisal or self-mastery) led to
larger future declines in disorder counts. However, within-subject change in disorder counts did not
substantially influence future change in each cognitive or behavioral strategy"
They were not studying people with depression and anxiety, it was a general population. So this might work for people in general, but not with people with depression and anxiety.
Participants were 3,294 community-dwelling adults ages 45.62 years
"Greater within-subject increased goal persistence (but not positive reappraisal or self-mastery) led to larger future declines in disorder counts. However, within-subject change in disorder counts did not substantially influence future change in each cognitive or behavioral strategy"