The reverse isn't really true. The one exception I can see is with battle resurrection from a SMN. Other than that the heals are so weak that it's usually better to just focus on ending the battle.

Also, it's not a fair comparison - DPS have no mechanic to change their throughput between heals and DPS. Both healing jobs have Cleric Stance. With that stance you can match or exceed most DPS int ratings and then add another 10% onto that damage. You can't possibly expect a DPS to match that kind of massive shift.

As a healer, you have a wider range of responsibility and you are expected to execute pretty much flawlessly. It's a higher bar, but it's something I think most of us who have played healer in the past expect (and enjoy).