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@j.palmeL29YX, I cannot see your video. Maybe I don't know how to use this thread, but I could not figure out how to watch it, but I would like to know what irregularities you are referencing, in particular if those irregularities are in the first 4 decimals (all of the 5-8 decimal irregularities, I have cleaned up now that I know they exist and can see them).
I know that it only changes the displayed decimals, but when I CAD, I am always checking that distances, positions, etc. are correct, but I was only checking the correctness to the displayed precision (4 initially). So, by showing all 8, I catch errors with my normal checks, and my unions, etc. work fine.
I guess my preference is to align the blocks angularly and with the correct size first, and then move them into place with the 3Dalign only specifying 1 insertion point. This works fine, as long as you align them to the full precision first. Ironically, I wanted to avoid my parts picking up slight angles that I could not see in my drawing by doing a 3-point 3dalign—turns out they showed up anyway for other reasons. But @j.palmeL29YX is right that if I used 3-point 3d-align that would have corrected the erroneous orientation of my block introduced by my rotation axis having a 5-8 decimal place error in orientation. But for me and my methods (which do work), the error was due to the rotation axis mis-alignment in the 5-8 decimal places, having corrected this, I rebuilt my whole drawing using the same methods I used before and everything worked great.
As for the 3dSnap issues. Yes, it works, but it also grabs a point on an object behind the one you are looking at from time-to-time, which I have to solve by rotating to different angles and trying again. I find it is best, if you can rotate the point you want to grab to have nothing behind it. This is probably the source of my issue with the UCS being slightly misaligned in the first place, btw, @Alfred.NESWADBA. Since I did create my UCS with OSnap on to grab the corners of a plane, but I guess I grabbed different points than I thought, and when I went to confirm the orientation of my UCS, it was correct... to the displayed 4 decimals, but off in the 5-8, propagating all of my issues forward.
Anyway, I guess there are a lot of ways to CAD, but my take away is display all 8 decimals (hopefully there are not hidden additional decimal places), because then if you are checking your drawing as you go, you will catch errors. If you only display 4 decimals and you check your drawing, you may still be off and not know it until way down the line, as was the case here. But maybe there is some unknown disadvantage to displaying 8 decimal places, IDK.