It does have an early one just under the nose, if you look at pictures.
However, IRST in real life depends on a lot of external factors, primarily weather and background signature. In a very denied ECCM environment and when stealth comes into the picture it does have its use given fitting tactics.
As for the Typhoons IRST I think it's waaay too early to have any discussion on that given ED still need to revamp the weather and cloud system to properly interact with sensors and match clouds for every client 1:1. Anything else is literally pointless and just as unrealistic as the FC3 stuff. The 29's or early 27's IRST is really only used in BFM and WVR scenarios and never for any sort of known BVR search or acquisition, it's just too unreliable. If you get in a fight though or the guy doesnt see you but you see him, EO/IRST can provide good weapon cueing without him noticing. it can also serve as a backup for a jamming target since the laser range finder still works and the EO can cue a fox two.