I have had my issues with care plans as they are conceived developed and used in our everyday working life, but they are not archaic and have evolved along with other aspects of nursing.
If you are taught them in such a way that they are reduced to an almost rote fill in the boxes exercise I can see why you wouldn't gain much that way - I get really bored and frustrated by classes taught like that.
I found that getting the perspective of some of the members here - Ilg of course, but also msn10 and Grn Tea (who specializes in this area) might approach in a way that piques your interest.
Anyway here's a link to a very lively thread where both have contributed on the topic with some input I got a lot of value out of. The title "nursing diagnosis" means that they are integrated into the care plan now, but have not always been. Care plans in one form or another are pretty intrinsic to nursing.
Beyond that you don't have many choices other than go through the process itself before you fully understand their value. Or not.