The widget starts bringing the actual images when the page has fully loaded. In some cases, external resources that you may use in your web page, 

other than inlinkz, may take time (or even be unavailable) so this makes inlinkz load when they finally load or fail. 

You might want to check your developer console on your browser at the network tab, for resources that take more time than they should. 

If inlinkz fails for any reason, it will just not load and present the link to the external page. It cannot possibly make your server go down or be unavailable as it is 

only a client side script. The website-down message is server-side-generated from your web host