All IRST do, that's their job. But for the current system - it does so in the best band specifically for BVR a2a, and does so with a larger mirror(pretty straightforward here: larger mirror - more light gathered - much better).Why is EOTS a step back? It allow for Search and track without opening the radar
Mid-IR produces sharper picture (good for a2g and adverse conditions identification...but not too far) and detects hotter sources very well(reheat plumes/halo, etc).
Far infrared is more boring picture-wise, but it much better sees friction-heated edges&surfaces (subsonic flight, frontal hemisphere) from extended ranges. It is also far less susceptible to atmospheric scatter(sees further, better sees through adverse atmospheric conditions).
Mid-infrared systems make sense for WVR (4th gen Chinese, all Soviet/Russian, French "balls") - but since EOTS' FoW is almost exactly opposite to the pilot's, it most clearly isn't made for that. It can help, sure - but they would've placed it above the radar dome if it had been a goal.