Drop ceiling tile direction
With both arrangements you have hangers attached to main tees on a 4 foot grid so the overall weight capacity is equal. I'll suggest the arrangement of the 4 foot cross tees between the main tees is a matter of preference and installer convenience. In my limited observation of ceilings, the nested arrangement seems more common than the &quot;all cross tees the same way&quot; arrangement.
Supplemental hangers could certainly be added, but bear in mind that hangers frequently are an obstruction that makes tile installation and removal difficult. Often a tile has to be slightly notched where it must pass by a hanger -- or it becomes notched over time through several in-and-out cycles!
You might try re-orienting the cross tees, but there are a few things to keep in mind when doing so:

with visual cue created by the long axis of the tiles going the other way, the room may feel longer or wider.
there may be challenges with repositioning lighting, HVAC, or other items.
the cross tees may not fit quite right the other direction.
some cross tees may be damaged in the removal process, requiring replacement.