I'm not saying it's wrong that some of the federal land is inaccessible, but there is so much BLM land that is accessible that it would take you a lifetime to exhaust visiting all of it.

But also, the corner crossing thing is really dumb. Why did the federal government establish a checkerboard pattern? Either way, they should just eminent domain 20 feet off the corners and call it a day.

In the US, it’s a legacy of railroad grants.

Yes, and the purpose of the checkerboard was so that the railroad could earn money by selling it (the government was basically "paying them in land") without having monopoly control of all the land in a given area (due to the checkerboard pattern).

It basically worked, except in wooded areas where the value came from the timber rather than the land.