For me at least the intent was to develop technology that is ours. Using open source hardware projects wherever applicable to springboard development. Ultimately open sourcing anything we come up with.
That's not to say we can't work in concert with other companies, I don't really see what would be the advantage to them. Especially if they're already balls deep with various initatives like putting on-chip 3G leading to direct access of the core that controls all the other cores, and isn't made accessible to the operator of the hardware. I don't particularly see why they'd be eager to work with us to remove all the backdoors and implants into their products after they've put so much effort into them being there.
At least in the early phases, not everything would need producing "up there" - but the more of it that can be will reduce the required lifting mass for construction of additional equipments. With things like a seed factory, most of the bulk will be panelwork, bars/tubes, cogs/belts/chains etc and easily built from scrap floating nearby but to clone itself fully it'd need the entire electronics control package again. Things like motors also be required but it might be feasible to build some steppers etc. Reducing the lift to just the electronics in order to complete the facility is a massive improvement(and some could potentially be lifted with the initial seed, it'd be clever to has spares) but ultimately produced up there is the better option and long term essential. Can't be waiting really for things to lift from surface then throw out past Mars to the belt in order to pop off new facilities or repair/replace existing over there and harvest faster, ideally it'd require production on that end. Which would be easier if first developed in local orbit. If developed on the ground before that, the initial seed will go up powered by our tech.
I'd considered to investigate the automated tool crapple use to take apart old iphones with view of building something similar - there's likely a lot of usable components in the scrap floating about, that could reduce lift further.
Ofc, once we have orbital facilities for production and supermassive supplies of material it'd make sense to encorage others production to occur through our facilities - the more industrial processes removed from the surface of the Earth the better, IMHO. Plus it's a way to get rid of the exponentially increasing stash of harvested materials.