Your doubt is valid and few people ask this question, so I care about it.
Let's be clear first: visit count isn't a result, it's an intermediate metric. If you're presenting visit counts to management, they're right to ask "what did it bring us."
To measure, you need to decide where the blog sits in the sales funnel. There are three possibilities and each has different metrics.
If the blog is for reaching new people, what you measure is whether visitors from the blog return after a while. A one-time visitor is as good as never having come.
If the blog is for persuasion, what you measure is how many blog posts customers read on their way to conversion. You likely have this data, but nobody looks at it.
If the blog is to support the sales team, what you measure is how often blog content is shared during sales calls. You find this out by asking the sales team, not via tools.
The simplest metric that worked for me was this: we looked at the first touchpoint of our last hundred customers. The percentage coming from the blog was lower than expected, but average contract sizes were significantly higher. So the blog brought fewer customers, but better ones.
Before finding this number, we were discussing shutting down the blog. After finding it, we increased the budget.