As a fairly new valid controller I can say that at the college for NATS does not teach us to use the phrase "take next right/left" and I haven't used it at my unit once either.
If I need an aircraft to miss a link (for traffic purposes) or make a speedy exit (minimum time on runway, not specifying and exit) I will let them know before landing clearance, not in the middle of breaking but hey that's just me.