To add to my previous message, please find in the following the answer that I got from the hosting provider concerning the relevant class for problem 2 and suggestion for problem 1:
“The class that gets added when an image is lazy-loaded from our plugin hosting related is lazyload. Please also ask them to check what’s the difference at theme level, between the images added in the menus and the images that are actually lazy-loaded so they can provide you with information on how to add/insert them the same way into the menus, so they can be compatible with wordpress lazy-load functionality that represents the basis for our hosting related caching plugin to work. ”
Thanks in advance for your help.
F.