Will this work with the Core Ultra 9?
Nope. Far too small to cover all eventualities. This Intel cooler is only rated for CPUs up to 65W.
According to this review, the base TDP of the 285K is 125W (PL1) rising to 250W Turbo boost (PL2).
https://www.techreviewer.com/tech-specs/intel-285k-tdp/#tdp-of-the-core-ultra-9-285k-vs-other-cpus
In other words, the 285K could try to dissipate double the power rating of that Intel cooler at PL1 (125W), or a scorching four times the power rating of the Laminar RH1 if you tried to reach PL2 (250W).
In practice, the 285K wouldn't reach 125W, let alone 250W with the Intel cooler. It's just too small. The computer would probably boot up, but as soon as you start any serious programs, the CPU temperature would shoot up to 100°C and throttle.
If this was my system, I might try the Thermalright Phantom Spirit with 7 heatpipes (one more than the Peerless Assassin which has 6). Only $35.90 in the USA.
https://www.amazon.com/Thermalright-Phantom-TL-C12B-Technilogy-Bearing/dp/B0BNDTJVPL
I've also used the Peerless Assassin 120 SE and the much more expensive Noctua NH-D15 in various builds.
If you've got a small computer case with limited headroom, you might be better off with a more expensive AIO water cooler. I'd probably pick something with two, preferably three radiator fans, i.e. 240, 360 or 420mm.
There's a reason why Intel and AMD don't supply heatsinks with their more powerful processors. Even if they did, most people wouldn't use the stock cooler, but fit something "better" from a different manufacturer. There's no point wasting money on a bundled cooler if you're going to leave it in the box, so they're frequently not supplied.