nlel1975 - You're not listening to what people are telling you, whether that be intentional or not, I'm not sure.
Anything abrasive, be it compound or polish, should not be used as a method for removing pieces of contamination from your paintwork.
They're paint correction products that should be used when required (required being when you see swirls, scratches and/or oxidation). You only use them on paintwork that has been throughly decontaminated through chemical methods and a clay bar.
Whilst an intensive process, it's a process that doesn't require repeating often:
- Pre-wash with either snow foam or a citrus based pre-wash. This removes as much muck as possible prior to contact washing
- Wash with a dedicated, non-wax shampoo
- Use chemical decontamination such as fall out remover and tar remover. This prevents the clay in the next step from becoming overloaded too quickly, and/or picking up large pieces
- Clay the car using a clay bar or clay mitt and lube (personally prefer a bar as you can fold the contaminated surface into the middle of the clay). Claying must only be carried out if you're planning on polishing afterwards as being an abrasive, it will dull the paint appearance
- Compound and/or polish - depends on the level of correction needed, swirls need a more aggressive compound and will required a polish to refine the paint back to a shine. Think of it as going from a coarse to finer grit sandpaper in metalwork
- Remove polish oils from paint using a panel prep product
- Apply protection such as wax or ceramic coating
After that, it's just maintenance washing, preferably using pH neutral cleaning products to keep the protection intact for as long as possible.
I'm not sure what dirt it is in your pictures but it shouldn't be removed using an abrasive, even a light abrasive such as a polish. Meguiars have a YT channel that includes a polishing guide and you'll see they thoroughly decontaminate the car before using their compound or polish.
My maintenance wash is a snow foam, followed by a pH neutral shampoo contact wash and all major pieces of dirt are removed - I only have a battery powered Worx jet wash too, which isn't as powerful as a mains powered jet wash. Anything left behind is usually tar and I dab that off using Bilt Hamber cleansing fluid which is a panel prep liquid that can also remove tar.