This is right in my wheelhouse. No, it's not stupid.
The vast majority of web analytics are actually objectively useless. Yes, you will generate a lot of data. No, obsessing over this data is unlikely to lead to making your website better in any way whatsoever.
Thing the first: My personal "business" website (I use this term very loosely) isn't even dynamic. Yes, Flightless Forge is static HTML. I don't even use any Javavscript. The horror!
Thing the second: That's because for my job I manage an online storefront that's completely bespoke (written by: guess who) and part of the above is because I decided I really don't want to bring work home with me. We used to use every stupid analytics platform under the sun and over time, one by one, I wound up turning them all off. This is because they're not only privacy nightmares for our users but also incredibly bloated, and provide all-singing, all dancing dashboards that are veritable avalanches of useless information that management never successfully used to do anything. So I gave up.
The problems with these things is that they make big promises couched in marketing-speak, but there is no actual way to realistically deliver on those results. It's the Night Watchman problem for the digital age.
There is very little actual useful information you can glean from your userbase other than what pages they went to and when. Especially now, mouse cursor heatmaps tell a distorted story because 90% of your users will be on mobile and will have no mouse cursor. Behavior flow indicators will only tell you what you already know, which is that your users insist on using incorrect search terms and don't read. Vanishingly little you can do aside from ensuring that no part of your interface is outright broken will actually increase your conversion rate. You cannot actually determine what your users are thinking unless they tell you, and even then they will lie to you.
So my strategy has instead become to make our website work the way I want it to work on a daily basis, by avoiding the annoyances that annoy me. It must be working, because we have one of the highest rated sites in our industry and our clients go out of their way to compliment us on how much easier to use it is than our competitors.
The number one thing that will drive users away from your site and hurt your conversion rate is anything they perceive as friction in your process, because as soon as they encounter the slightest frustration or adversity or even a simple behavior of your interface that doesn't behave the way they expect it to, they'll click off and go somewhere else. Nirvana is achieved when you realize that a nontrivial fraction of the "friction" your users experienced was in fact them shooting themselves in the foot by being stupid and you can't do anything about this. I log what people put in the search box, for instance, and you would not believe the asinine shit they put in there. Your best practices are therefore not to give the user enough rope to hang himself, and compensate for his stupidity at every opportunity.
(And no, I am not telling you where I work.)