Desktops, either Windows or Linux, stay on 24/365 other than being restarted once in while to install updates etc., a forced reset following a freeze or in the case of Windows, a soft reboot once a month or so just to clear out the RAM and restart services. They sleep when not in use so scheduled tasks like backups etc. get done overnight or so shared resources are available on demand (one is a media, email etc. server).
A UPS ensures a tidy shut-down in the event of mains electricity failure.
My MacBook Pro does the same when I'm at home. No need for a UPS, the built-in battery does the job instead. If I've taken it somewhere I usually shut it down to save battery. Battery life in an i7 Retina MacBook needs all the help it can get.
As for HDDs, or any other electronics, wearing out if left on, the thermal changes caused by the circuits powering on and off can cause long-term reliability problems as well.