Private use of previous public resources has had mixed success, but it feels like leaving space to the public sector will doom us to being Terran bound forever.
the private sector made it to the moon 56 years after the public sector
it's going to take the management of our shared resources and spaces (orbit) for instance to leave earth, and this becomes especially important as Kessler syndrome risk rises with increasing debris in orbit
private companies launching without public oversight and controls are a recipe for cluttering earth's orbit and leaving us earth-bound for far into the future (same if the public sector launches without care but that seems less likely imo)
I don't see the problem in that to be honest... Especially if the other solution would be allowing private companies to take over our (shared) orbit, meteorites, and -- continuing the trend -- planets for themselves to profit. If it seems overly pessimistic, we can just look at how our own planet's ressources are shared...
I don't know what the best solution is to be honest, but a wild west where improbable VC-funded nonsense is flung in to orbit isn't it. Leaving it only to the public sector is the other extreme end of course, and I'm not advocating for that either.