Quite often at CWL we are slowed to stay behind a turboprop when if ATC told us to keep the speed up we could be well past miles before the localiser.
It's a well known myth put about by jet jockeys all over the place, not just at CWL. And doesn't stack up in the real world. Props can fly at around 200-240 Kts till very close to the airfield and still have a stable approach. The ability to change the pitch of the props gives you a couple of massive airbrakes. Your slippery jet will need to be back in the 170 Kt regime and stabilised by around 4 miles.
So lets say you start off about 40 miles out (normal handoff to approach units) and 5 miles behind the 'slow prop'. You're doing 300 Kts because ATC are kind (and it simplifies the maths) and you really think that you can take this guy ahead, or in other words you are doing 5 miles a minute. So it's going to take you simplistically 7 minutes to reach 5DME. The prop meanwhile is doing 240Kts, or 4 miles a minute. In the same 7 minutes you require to reach 5DME, he has reached 7DME. The two immediate problems are that 3NM separation is required and we only have 2, but more importantly, you are still at 300Kts and already getting ready for that go around since you can't lose that speed and be stabilised, then land, in 5NM - at least not without a deal of passenger discomfort. It's going to take a while to reach flap and gear limit speeds if nothing else, unless you pop out those spoilers.
That's a simplistic view, the reality is that somewhere in the equation, the jet is going to have to factor in the 10NM or so it will take to slow from descent speed to a fast approach speed, let alone before it even reaches VRef+ for it's final approach.
Basically, unless you are already abeam the prop or ahead at 40NM, or close to it within about 80NM, (and can maintain 200+ Kts till well established on final) then it's a one horse race which the prop will win everytime.
That's the facts, which ATC staff up and down the land have seen played out many times. Big and fast is not always better
