bgp as-path info

I just brought up a BGP session with one of my providers, they are stripping our AS as it leaves their network, so it looks like the route is originating from their network. I have another provider that I will be bringing up BGP with later this week. Once I bring up the other provider, I will be advertising several networks out both of them. Is this as-path stripping going to cause issues? Does it matter either way? -jay