The sensible ones which pay more than lip service to risk assessment and mitigation.
For procedures which generally accord with normal traffic patterns, SIDs, etc., there is probably no need to worry too much about ATC advice .. although .. those good folk might presume a much greater climb gradient AEO and factor that into traffic conflict planning .. and then along comes Bloggs OEI at, say, 3 percent or so ....
If there is likely to be a surprise factor for ATC, then it is pretty silly not to have them on the distribution list for the procedure. This might not cover all bases but goes some of the way.
For odd-ball procedures where the potential surprise factor is high, then I opt for the "give ATC a briefing on the procedure" in association with distribution. I have to say that I have never had any responses other than interested and appreciative from ATC offices for such an approach.
There is a resources (labour and cost) overhead involved, of course...