Multi-Tenant per-customer alerting thoughts/ideas

First I'd like to say that I'm happy with the way Recipients and Escalations work.  We too have the problem of lots of recipients and escalations because generally our infrastructure operations want to be notified only for infrastructure alerts, but the business service teams want to be notified for all alerts for their business service (even if they can't do anything about it, they just want to be informed).

What I've always though would be useful would be to be able to set on the resource group an "Always notify this group" option.