I use Apache with default log settings. That means it stores traffic data. I can access it and so can my webhost. I have better things to do than look at log files and start guessing who the IP-address belongs to.

Logs can come in handy though, for instance when some very agressive scraper was using thousands of different IPs, which caused a high server load. But that instance lead me to ban innocent IPs too, so it didn't really work.

But by all means:
I set no limitations.