You can't assume that, these costs, specifically the server less stack at AWS, scale up quite opaquely. You can put billing alerts in place, but once you tie your infrastructure to one specific serverless vendor, even if you identify a harmful cost scale, you can't easily mitigate it.

I am not saying serverless is expensive, all I am advocating is extensive planning and preparing before adopting any particular serverless solution. Once you give the green light to adopt a specific cloud solution, you tie yourself to that cloud, and that can turn out to be a bad idea in the long run.

Lambda is a great tool when used right. It can take big workloads without costing too much. But in itself it does very little. It still needs to intergrate with something to be triggered, and if you go with AWS API Gateway that can cost you a pretty penny. Load balancer also incurs costs that are difficult to predict and is not so flexible as other load balancing tools, so sometimes you might still need to provision you own service discovery and load distribution layers, just like they had to do at slack.

Serverless is nice, solves a lot of issues and give smaller teams a shot they otherwise wouldn't have, having to manage everything by themselves. But cloud costs can be opaque, cloud implementation can be very complex, cloud solutions can be too rigid sometimes and tying your product to one vendor can be detrimental in the long run.