As much as I appreciate your honesty in this, I only think you’ll be shooting yourself in the foot. Your website is a tool that serves a purpose: to let people find your business and turn them into customers. And in order to know how useful this tool is, you want to have some insights in how much people visit the website, how long they are browsing each page, what pages are read more than others, and so on. Also, you want to know where people come from in your website: do they come from search engines (with what keywords?), or are they clicking through from your social channels? Once you know, you can optimize your marketing materials (including social posts, website content) for your actual target audience.
In stead of not using tracking at all, I would suggest to use anonymized tracking. This gives you enough information to measure effectiveness, without compromising the individual’s privacy. European GDPR requires this, so all tracking tools should have GDPR-compliant options. Also, if you inform your users that you use anonymized tracking, you can show that you’re doing the best you can to protect their privacy as well. Last but not least, (almost) every single site on the World Wide Web tracks their users anyway, so they will likely have been tracked multiple times anyway on their path to your website.
Have a look at DietPi. That is a single-board-computer optimized Linux distribution that, in contradiction to what the name might suggest, runs on (almost) all of the SBC’s out there. It has stripped away all the things you don’t need and only installs and loads what is needed to run the software you choose, resulting in a very lightweight but powerful operating system for these kinds of devices. It has its own software catalog with a broad selection of optimized software, but you can of course install anything you want. Ive been running this on a Raxda Rock4 without any problems, and would definitely suggest this even on a Raspberry over the regular Pi image.