Yeah, at my company for my years of service (over 7) we get 26 days of paid time off (PTO) which has to include sick and vacation (so healthy people do better than sick people). We also get 10 holidays. To slightly mitigate the PTO/sick, if needed we get short-term disability, which kicks in if you're admitted to the hospital for more than a week and pays you 100% of your pay for 2 weeks, and then 60% of your pay thereafter up to 13 weeks. Eventually, if you're really in serious trouble they switch you to long-term disability, and that's the 60% rate too. That can actually go up until you're 65.

Your system does seem better!