Snowflake is focused on enterprise customers. It has a lot of features focused on that, like very granular security and governance and data marketplace. There's also some non-enterprise features that ClickHouse lacks, like the ability to execute Python in database (so you can bring ML in).
But the biggest difference is that Snowflake is storage segregated architecture. Scaling Snowflake is done by running "alter warehouse resize" or something. You can also dedicate specific compute slices to specific users and scale them up and down as needed. And this is all managed for you.
If you want to run ClickHouse at scale, you have to run your own k8s, figure out how to manage persistent storage, figure out how to replicate your data, manage cluster replicated tables, etc. Once you outgrow single instance, things get exponentially more difficult - both for the admins and for the users.
Also, while ClickHouse can do joins and is getting better and better optimizer as we speak, and is probably faster than Snowflake for the same money on "single big table analytics" kind of workload, I would expect it to perform much worse in traditional analytics queries, like you would find in TPC-DS.