This might not be obvious, but just use one or two relationship blocks with additional views on those blocks to visualize the other hidden relationships. A view on a relationship block can be used for any relation that entity page has, it doesn’t have to be for just the block titled one.
Our project pages have way more relationships than you are showing and we visualize all of it through about 20 views on three different blocks. There can definitely be some improvements to entity pages (node layout or tabs first of all), but I actually think the entity pages feel very navigable to deeper levels of connected relationships