I cannot find issue when testing password protected pages with:
Customize > Frontpage
To be sure; you havent set any frontpage settings in:
Settings > Reading > Homepage displays:
If so: Please set your homepage/frontpage in "Customize" → "Frontpage".
Also to be sure before progressing:
Wordpress, Lay Theme & Laytheme's Addons are all up to date ?
Any custom CSS or JS that may interfere is temporarily removed.
Any third-party plugins are de-activated to see if this resolves the issue.
If using a WordPress Cache plugin, disable it or clear your cache.
License key not activated - (in website blank situations or button not available)
If your WordPress Dashboard shows a warning "PHP Update required”
Please update your PHP version in your webhost control panel.
Additionally take a look at https://laytheme.com/troubleshooting.html
for known problems.
Talk soon @tali & best wishes :)