The same problem here. If I browse through the site with browser 1, pages are showing correct cache at the second visit.
Using a new PC or an new browser, page shows miss.
Pages that have been 100% visited by a user a few minutes ago (for example a product page which the user bought) are cache-miss, even if stock status did not change on that product.
All cache purge settings within LS plugin are set to a minimum, and the purge log shows nothing for the monitored time interval.