Great question. I think it's better to chase than to be chased:
1. When you are chased, you pick among those who have picked you
2. When you chase, you are picked among those whom you have picked
Apparently, they are the same but...
1. When you have to pick among those who have picked you, it implies you must resign to what has been offered to you. You must adjust, compromise. Maybe you will find what you want in this group, maybe not.
2. When you are picked among those whom you have picked, you are sure that (in theory) any of them will be good (after all, they were pre-selected)
I've always faced near 100% rejection rates when I chased, so I would always let them chase me. I've had good experiences being chased, but I felt I lacked control.
My current partner was chased by me. He's a Ferrari to my Sedan expectations. He was the only one to respond my message. My friends can't believe my luck!
If you have high rejection rates, just keep trying. Hit the "whatever" button, send messages to anyone
you find attractive. One egg will survive the predators!