As I mentioned in my comment, no difference if the person is starting out or if the project gets traction.
But for experienced positions like the post author was talking about. You don't get additional signals on the developer, like did the product scale well, how was the uptime, the performance optimisations he needed to do, evolving the product with customer feedback etc. Also, bigcos love to ask around conflicts within a team, working with other teams because it matters a lot to them.
As an engineer I can admire the dexterity of a solution even if unproven but how do I verify it in an interview span. Easier to do this if I can attach it with a company name or some numbers.
I hate this and I spent early part of my career trying to come up with methods that can make hiring easier and reduce biases like company name but I realised how difficult the process is with different stakeholders, each having his own criteria and biases.