Don’t know about “major” airports tbh....but if I know I want aircraft to vacate at a longer-than-normal exit point I try to let them know whilst on approach (2nm ish).
When on the ground I will delay instruction until I believe they are at a safe manoeuvring speed (not 60kts....a bit less). I’m quite appreciative of a pilot who calls “manoeuvring speed” or similar....but I guess at a “busy busy” airport it wouldn’t be so appreciated? (Generally if they make such a call it’s a fraction before I would transmit in any case - although the odd biz-jet surprises me by an earlier call).
But then my airport isn’t a maze of taxiways...it’d be a struggle to get lost...
Out of interest I generally call “left, right [further instructions]” or “left, left [further instructions] to try to ensure runway is fully vacated....is that generally helpful? (I find it is at my airport - certainly as far as tailfins and stopbars are concerned....)