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methodman89, I've tried that before on both my current Pixel 3 XL and my previous 2 XL, and it's the same thing -- the Recovery Menu comes up and there is no option to wipe the cache partition. This is due to the dual system partitions that are used for seamless updates. I don't have a 1st gen Pixel XL to test, but since that also supports seamless updates, the same thing should apply (as it should for any other device that supports seamless updates, as listed here:
https://www.xda-developers.com/list-...mless-updates/). I've definitely seen this issue discussed for some of the recent Moto phones in that list, and those users have also confirmed there is no system cache partition to clear.
I've encountered sites like the one you link -- I think what happens is that the people who run those sites assume the process works for every single phone, and they simply copy the steps from other devices. But all of that being said, there's certainly no harm in trying the procedure. If you get to the Recovery Menu and don't see the Wipe Cache Partition option, then simply reboot the device.