The crontab on my debian 24/7 server (23 watts idle state) looks like this:

25 6 * * * root test -x /usr/sbin/anacron || run-parts --report /etc/cron.daily
47 6 * * 7 root test -x /usr/sbin/anacron || run-parts --report /etc/cron.weekly
52 6 1 * * root test -x /usr/sbin/anacron || run-parts --report /etc/cron.monthly

There is no /usr/sbin/anacron executable, and cron seems to work just fine.

Cheers