it doesn't appeal to me either but it doesn't make me cringe. It's not 'going to do XXX in order to pull' behaviour, its simply 'going to do XXX to meet some new people' behaviour. If you aren't meeting new people, you won't find a partner (if that is what you want or not). Think of it as expanding your circle of friends and giving yourself possibilities, while doing something that is fun too.
Its very easy to find yourself happy in your life but with a set and unchanging circle of friends, particularly once in your 30s or beyond. By then you may be settled in a good job, settled in a home, have lots of friends that you've known for ages but perhaps going 'out' a bit less...lots of friends will be married or settled, kids perhaps.. unless you do something that gets you meeting new people then you won't find a partner. So it's just about trying something different to normal to meet some new people and give yourself possibilities.
As I said though, personally I find it tough to do something that I have little interest in 'just' to meet people. which is why I've not been to a dance class. I probably would find the evening enjoyable and social and fun, but personally I'd feel like I was forcing it and wouldn't feel that comfortable, but others are okay doing it.