I started using a hops spider a couple of years ago, when my pumps got clogged by hops debris.
I leave it in while chilling, as I often have late addition and/or flame out hops that I keep in and whirlpool and recirculate. I recirculate until the wort reaches 120, and then send it to the fermenter on the last pass.
I don't use a lid, ever, so that's not an issue for me. My utilization seems to be about the same, but when I use a LOT of hops like I did last week, I use a second spider or a big hops bag for some additions. But that's only in my 6 ounce + beers.