What you wrote was pretty much what you do, although i'm going to expand slightly.
Blast Car Down - Use a pressure washer to get thick crud/muck off first.
Snow Foam - You don't have to make it look like a thick foam, too many people get utterly carried away at making it the thickest foam they can. Ratio of around 1:8 in the bottle is fine.
Bucket Wash - 2 bucket method with grid guards and a wool mitt then hose down after
De-contaminate - de-tar and de-iron
Clay - As already discussed on here
Bucket Wash - just a pressure wash will suffice.
Dry - a good car drying towel
Swirl Removal - Chosen Product - This is essentially what polishing does
Polish - see above
Wax - OR seal. I use a seal as it doesn't apply pressure to paintwork to apply and therefore risk tarnishing paintwork.
and I'll use yours and expand on it too... lol
Blast Car Down - Use a pressure washer to get thick crud/muck off first, including wheels/arches/underbody.
Snow Foam - You don't have to make it look like a thick foam, too many people get utterly carried away at making it the thickest foam they can. Ratio of around 1:8 in the bottle is fine. <agree>
Wheels - I always clean the wheels after the snow foam is on... mine are all sealed up, so SN and a small brush is usually good enough to clean them.
Bucket Wash - 2 bucket method with grid guards and a wool mitt then hose down after <Grit guards are a complete waste of money imo> Use Fairy Liquid if doing a new car, or wanting to strip back any wax etc on yours, if just a "normal" wash then a decent shampoo that doesn't strip your wax/sealant
De-contaminate - de-tar and de-iron and clay.... <this is a 3 stage process for me... 2 chemical and 1 manual...>
Bucket Wash - just a pressure wash will suffice. <I use ONR as my clay lube, so don't need this step>
Dry - a good car drying towel... < + a drying aid >
Swirl Removal - Chosen Product - This is essentially what polishing does
Polish - see above
Another Snow foam / clean to remove any polish dust, and a dry as per before...
IPA wipedown to remove any oils and to help check that swirls are gone.
Wax - OR seal. I use a seal as it doesn't apply pressure to paintwork to apply and therefore risk tarnishing paintwork... <wax, seal or both as you see fit and enjoy - note, seal before wax if using both>
As for should you pressure wash first....snow second etc... each to their own, the professionals I know and trust do hose down the car first, so that's good enough for me...the idea being to remove any really loose grim, and to leave the harder stuff for the snow foam to work at...
As with everything detailing related, there is no real right or wrong, but this is how I work with the cars....