No disagreement on more private tags equaling less access for the public. Certain exceptions apply of course relative to non-transferable landowner licenses and permits (my opinion, others disagree).
The benefit of the state being the primary purveyor of Block is that you end up with a fair and equitable system that has to comport with wildlife management overlays. It's access plus fewer noxious weeds on the land, better landowner-agency relations, etc. The benefits are multi-faceted and it provides a metric shit-tonne of access that may not otherwise be there and it brings our wildlife managers closer to landowners - when it works right. The biggest issue of block mgt is that top end payments are tied to Type 1 systems that encourage over-use of a property in terms of the quality of hunt. However, I have had tremendous opportunities for deer, pronghorn and upland on a lot type 1 BMA's personally.
For private to provide the same level of free access (to the general public) you are looking at a non-profit that is heavily financed to get this kind of thing done. And there - unless a public service component (some kind of gov't interaction w/the ngo) you can easily find yourself in a situation that is ostensibly a hunt club on a grand scale - which will cost even more traditional access. It's not an insurmountable task - but it is Herculean.