I love anchovies and use a lot of them in many of the dishes I cook (including tomato sauce). Fish sauce ruins everything it touches for me. It isn’t lack of exposure either; I lived on Vietnamese home-cooking for many years. I eat a lot of weird and pungent things but I have no context for why anyone would want to put that fish sauce in their food. Also, some types of fish sauce from around the world don’t have this effect for whatever reason.
I’m pretty sure from observation that it is gene-linked thing, like the cilantro sensitivity. While rare, even some Vietnamese people seem to fall into this set and it is part of their cuisine.
Also, why not reflect on the nature of fish sauce and the nature of tomato sauce? Does that give you any ideas about what ratio might be edible? Any constraints at all on what might be worth trying?