According to "The neuroscience of working memory capacity and training" by Christos Constantinidis & Torkel Klingberg asserts that training can increase WM capacity, however this does not translate into better reasoning power:
Ongoing research aims to elucidate the extent to which the
improvements also translate to various other abilities, such as
academic abilities, that statistically correlate with WM capacity.
Indeed, transfer to reasoning ability has been reported to be small,
with inconsistent findings.
However, transfers to attention seem more promising:
More-encouraging transfer results are seen for attention: several
randomized, controlled trials, some of them including children with
ADHD, show decreases in inattentive behaviour in every-day life after
WM training
They cite to support this:
Klingberg, T. et al. Computerized training of working memory in
children with ADHD — a randomized, controlled trial. J. Am. Acad.
Child Adolesc. Psychiatry 44 , 177–186 (2005)
Brehmer, Y., Westerberg, H. & Backman, L. Working- memory training in
younger and older adults: training gains, transfer, and maintenance.
Front. Hum. Neurosci. 6 , 63 (2012).
Green, C. T. et al. Will working memory training generalize to
improve off-task behavior in children with
attention-deficit/hyperactivity disorder? Neurotherapeutics 9 ,
639–648 (2012).
Bigorra, A., Garolera, M., Guijarro, S. & Hervas, A. Long-term
far-transfer effects of working memory training in children with
ADHD: a randomized controlled trial. Eur. Child Adolesc. Psychiatry
http:// dx.doi.org/
10.1007/s00787-015-0804-3 (2015).
Conklin, H. M. et al. Computerized cognitive training for
amelioration of cognitive late effects among childhood cancer
survivors: a randomized controlled trial. J. Clin. Oncol. 33 ,
3894–3902 (2015)