This is false.
It is not the case that "all borders should be open" to those things. Private borders may and should be as closed to any or all of those things as their respective property owners wish them to be (subject to any relevant contractual encumbrances, such as easements, rights-of-way, etc.).
Yet that is exactly what must and will occur in the case of public borders, regardless of whether they are "open" or "closed".
When they are public, so-called "open borders" are fundamentally and inescapably statist in nature - as all policies concerning public borders (no matter how permissive or restrictive) must necessarily be. (The only real difference in this regard is that the inherently statist nature of the implementation and consequences of public "open borders" might not be as manifestly obvious and directly observable as they are for "closed borders".)
Any public "open borders" policy necessarily involves the state dictating to others the terms under which they are or are not allowed, forbidden, or required to trade, travel, associate, etc. That those terms might be generously permissive and relatively "open" does not change the dictatorial nature of their implementation by the state; nor does it abnegate the (direct or indirect) negative consequences that arise as a result of imposing that implementation. (Indeed, some of those negative consequences - such as artificially-engineered demographic change, welfare-state expansionism, etc. - redound to the political advantage of some, who desire and seek to impose public "open borders" for that very reason.)