So then you should probably only work on products that don't require out of hours support, or where the team is willing and able to hire people in another time zone.
Perhaps the company should invest the resources into hiring people to provide out of hours support rather than expecting their employees to be on call 24/7 for certain weeks of the month. Otherwise, why shouldthe company bother offering out of hours support if it's not willing to pay for it.
Indeed, companys should pay what's required, but it's not really the point I'm making.
End of the day, an Ops guy who is not part of the development team can't really do all that much when a bad commit brings down the system. Sure, we can take a stab in the dark and roll-back, but we don't know if that's going to make the problem worse, or we can restart it but that's about the easiest thing in the world to automate.
So, why not get the experts of the system, who rolled out the change, and undertook the quality control, to be part of the team that fixes the outage (irregadless of what time we do it at)? Who is better suited?