that is hard question to answer.
First, Dreamhost has many products from inexpensive shared hosting to VPS, Dedicated, DreamCompute, Dreampress etc. There are also many options such as google pagespeed, Cloudflare, etc.
You don't say what your site is based off, if its wordpress and you want to compare to wordpress sites you would need to know the exact configurations of those sites to base any comparison. Sometimes sites are well optimized with plug-ins that all play nice with each other, sadly there are many at both dreamhost and godaddy where the site developer is a content oriented person and not as technically proficient as necessary, and as a result the sites load horibbly, and then they add this plug-in and that plug-in to try and make it better.
Maybe if you told us more about your needs and traffic volume someone could give you something more solid.