As a percentage, that's true, but not as a number (you quoted 225K free blacks in the North versus 262K in the South).
Certainly, it makes sense that there were more free blacks in the South, since the vast majority of blacks at the time lived in the South.
let it be that the Southern accepted his Free Black neighbor living among them more readily than did their Northern countrymen.
If that was the case, why were there about the same number of free blacks in the North as there were in the South? Since it is logical to assume that the free blacks in ths North moved there from the South, it would seem that the migration of blacks was from the South to the North, thereby going against your claim that Southerners got along well with free blacks.