Not ALL older people like it either. I am 58 years old and will never seek or accept a discount based solely on my age.
I've already run into it too. I simply tell them that I don't accept "senior" discounts.
Senior discounts are a way of as you say, giving seniors,"...the respect they deserve."
After all, we are told they are the ones on a "fixed income".
Congratulations. May I say that you are an older person worthy of respect. I'd gladly buy you a round at your favorite establishment.