In OTL the Bush administration had some success in convincing some countries to pledge troops to post War Iraq.
When it turned out that it was the shitshow it was everybody backed out.
Still, India had alerted one of its divisions that it might have to deploy and Pakistan military formations got as far as early training before it got cancelled. Saudis and Egyptians were also ready.
Let’s say that the deployments happen, let’s say the POD is an insurgency not blowing up till mid 2004, how does that change things.