This study sheds some more light on the topic.
The results of this study clearly demonstrate that the
accommodative lag which appears under a habitual seeing
condition can be different from that under an experimental
condition, ie, monocular viewing after full correction
with contact lens.3,4,6 Therefore, the previously reported
data obtained under the experimental conditions are not
sufficient for discussing the causative relationship between accommodative lag and myopia progression.
Also: In an environment close to natural seeing
conditions, ie, binocular viewing through habitually worn
glasses or contact lenses, we failed to demonstrate a larger
accommodative lag in adults with EOM than in emmetropic adults. ( EOM refers to early onset myopia.)
It seems I cannot link the article, but this is the title:
Accommodative Lag Under Habitual Seeing Conditions:
Comparison Between Adult Myopes and Emmetropes
Chiaki Nakatsuka, Satoshi Hasebe, Fumitaka Nonaka and Hiroshi Ohtsuki
Department of Ophthalmology, Okayama University Graduate School of Medicine and Dentistry, Okayama, Japan
You can probably access it yourself. It would seem to indicate that the wearing of correction in myopia may not much affect accommodative lag. This assumes that most myopes are slightly undercorrected, which is probably not always the case. Anyway, it shows us that experimental conditions do not always relate to real life conditions, and we should take all experimental studies with a pinch of salt.