By meaningful I mean experimentally falsifiable.
Yes it's falsifiable and indeed has been falsified.
The geometry of spacetime is described by an equation called the metric that we get by solving Einstein's equation. We can get some information about the metric that describes the universe by studying the motion of objects like galaxies, galaxy clusters etc. When we do this we find the observations are broadly in line with a geometry called the FLRW metric. This is the metric that describes an isotopic, homogeneous expanding universe. By contrast the various metrics that describe black holes predict behaviour that is completely different to anything we observe.