I've seen my org send a silly amount of silly questions that were obviously our fault to AWS support and they always took it in stride. We very rarely needed to follow up with our client executive (but they always offer to jump in if necessary). When we did have serious issues, we had no problem scheduling time with the executive managing the product and the engineers that wrote the code.

Meanwhile we can't even get Google to answer an email about serious incidents that were very obviously their fault, much less assign a dedicated human point person (hell with AWS, we even had several backup contacts assigned to cover for vacation time). We were important enough to be featured on their client success frontpage, but that didn't make a difference in support quality we received.

I can't imagine why anyone would risk their business with GCE. Especially since it tends to cost more than AWS these days.