Why don't we see some directionality from that?
e.g. if it's a point source (of gravity) we'd see stuff coming closer together as it approaches that source.
We don't see that - everything is moving further apart.
(That some galaxies, under their local attraction, are getting closer is not a counter-example; examples of this are scattered about and don't indicate any common source).
Try drawing a picture of what you describe; it will help.
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