Detection should still occur well before the Typhoon reaches the No Escape Zone let alone the point where the Pk of a single shot would make it a sound tactical idea, instead of waiting to further close the distance or fly the intercept and improve the geometry in order to have a higher SSPk.
These days most aircraft have a sufficiently advanced MAWS so the shorter the time of flight the less there is that they can do to respond, and even basic sytems won’t be missing a missile launch even at extreme distances, as even after motor burn out there is still drag-induced skin heating that makes thermal emissions noticeable.
The Passive mode is probably most useful against AWACS, and similar utility / refueling aircraft that can’t really maneuver at all, and have a large RCS, a fighter is probably sufficiently maneuverable (and likely to do so due to intercept / patrol tasking) that it would be outside the scanned volume, or otherwise be far more likely to kinematically defeat the launch.
The optimal flow and timings in any given scenario change significantly depending on a number of factors(e.g. Altitude, the type and number of aircraft involved in the action, ground forces, support available, etc. ), The Meteor may outrange an AMRAAM, but unless explicitly required to limit the penetration of a given attacker it would likely to be better to wait until the ranges closed, and it nears the AMRAAM’s engagement range as to limit the defensive options that the attacker(s) has available and give the missile the best chance.
After all what would stop the attacker from resetting the engagement by turning cold once they detect the missile launch, even a Meteor as good as it is isn’t undefeatable if you have the time, altitude, space and awareness to do so (Crank, Notch, Turn cold, etc.), sure it might make their situation significantly worse and so be less likely to continue to engage, or prosecute their mission, but if the Typhoon doesn’t push the advantage they are now down a missile (and fuel, as those range figures certainly don’t come from a low speed, low altitude launch so fuel would have been expended), which depending on their loading may be decisive at some point in the future, or against the next attacker that attempts to do the same thing. and depending on the situation it may well bait the Typhoon into the path of a fighter sweep or any other sort of disadvantageous position from a third party if they decide to continue to close.
With so many potentially critical details there isn’t really any way to say that the Meteor has a set range, is it better than the AMRAAM in practically every way, sure (except maybe some aspects of ECCM, and assorted features, that wouldn’t be relevant to most engagements), but it isn’t going to always win the fight without a contest as far more than just the systems involved come into play.