“The WoodMart theme stands out in many ways compared to other themes, but there’s one issue that concerns me: when using an HTML version as the mobile page, it doesn’t always load properly on mobile devices — the desktop version loads instead. The separate mobile version in WoodMart is quite poor compared to other themes.”
you must enforce theme to using mobile version when browsing via mobile
The HTML version for mobile devices works properly only when the cache plugin supports a separate cache for mobile devices. So, try to activate that option, clear the cache and recheck the issue.