There's nothing paranoid about wanting a better handle on your server logs. It's one of those areas where incremental understanding compounds across every aspect of the site. Raw access logs give you far more signal than something like GSC or an SEO auditing tool, because you're seeing every request-not just the bot traffic.
Rather than manually scanning logs for errors or warnings on a set schedule, push them to a proper logging server with alerting baked in. That way you automate the detection of specific issues and can search through historical data when something feels off. It's not just about saving time-it's about building a feedback loop that gives you better visibility into crawls and other types of traffic hitting your infrastructure.
There's a learning curve, sure, but that curve pays dividends in both skill and leverage. I've used Loggly, Splunk (their free tier gives you 500 MB a day), and spent a lot of time on a self‑hosted Graylog instance. Some platforms-WP Engine and HubSpot come to mind-still don't support shipping raw logs to a remote server. That's a gap worth raising with them.