I guess I just don't see the need to ship something like a modern chip lithography machine? When the colony is first getting established they don't need to be making 2nm chips, there's only so much of that equipment that they would want for their own uses and they could get by without it just fine. There's something like a Maslow's hierarchy of needs for equipment that they would want from Earth starting with the most essential equipment for building habitation, power generation, growing food and extracting and recycling oxygen and water. Mars is a frontier not a new subdivision so the people who would settle there need food and shelter instead of laptops and TVs. Even after basic needs are met it would make more sense to figure out how to produce all of the tooling and manufacturing equipment you need locally instead of trying to ship everything, that's what self-sufficiency really means: you can produce not just the end products but all of the raw materials and machinery needed to create those end products. That's not to mention the biggest reason to make everything locally would be that it has to work in Martian gravity, there are a lot of manufacturing processes that would need to be redesigned for that. I don't deny that they would be dependent on Earth at first but there isn't any way around that since the whole idea is to move part of humanity from Earth to Mars. That doesn't make independence impossible though.
I don't really see the point in arguing against it. If a private company and private individuals want to try to colonize Mars then what does it have to do with anyone else? You can't cling on to their legs and scream "don't go!" It all just seems to be in the same vein as that famous headline saying man will never fly.