Different kinds of mindfulness correlate with different benefits.

Jazaieri points to work by Blanke et al. that probed how different aspects of mindfulness influence our emotional well-being. Three kinds of mindfulness were considered: present-moment attention, nonjudgmental acceptance, and acting with awareness. From Jazaieri's summary:

Seventy students ages 20-30 received pings via smartphone six times a day over the course of nine days. The pings included questions about the positive and negative emotions they had experienced recently, any unpleasant hassles that had occurred, and how mindful they had been, along the three specific dimensions of mindfulness.....Present-moment attention was the strongest predictor for increased positive emotions—the more attentive people said they were, the better they felt overall. ... Nonjudgmental acceptance was the strongest predictor for decreased negative emotions—the more people reported nonjudgmental acceptance in their lives, the less negative emotion they reported experiencing.

Here is the Blanke et al. abstract:

Mindfulness is commonly defined as a multidimensional mode of being attentive to, and aware of, momentary experiences while taking a nonjudgmental and accepting stance. These qualities have been linked to 2 different facets of affective well-being: being attentive is proposed to lead to an appreciation of experiences as they are, and thus to positive affect (PA). Accepting unpleasant experiences in a nonjudgmental fashion has been hypothesized to reduce negative affect (NA). Alternatively, however, attention may increase both positive and negative affectivity, whereas nonjudgmental acceptance may modify how people relate to their experiences. Previous research has considered such differential associations at the trait level, although a mindful mode may be understood as a state of being. Using an experience-sampling methodology (ESM) with smartphones, the present research therefore links different state mindfulness facets to positive and NA in daily life. Seventy students (50% female, 20–30 years old) of different disciplines participated in the study. Based on multidimensional assessments of self-reported state mindfulness and state affect, the findings corroborate the hypotheses on the differential predictive value of 2 mindfulness facets: Participants experienced more PA when they were attentive to the present moment and less NA when they nonjudgmentally accepted momentary experiences. Furthermore, only nonjudgmental acceptance buffered the impact of daily hassles on affective well-being. The study contributes to a more fine-grained understanding of the within-person mechanisms relating mindfulness to affective well-being in daily life. Future interventions may be able to enhance different aspects of affective well-being by addressing specific facets of mindfulness.