"which turned out to have basic core switch capability"
Any switch could be your core to be honest.. It doesn't have to do routing, etc. It could be a dumb switch.. The nutshell of the access, distribution, core is just a pyramid way of looking at how you fan out your network from the edge to the devices.
Such a layout as attached, be it all dumb switches could be seen as top switch as core, middle as distribution and bottom row as access. With your devices connected to the access layer.
It for sure can get way more complicated than that, and normally there is stacks with redundant connections, etc. If all you have is access switches directly connected to pfsense then pfsense becomes your combo core/distribution layer, etc. Or you could look at it like you don't have the core or the distribution layer, etc.
access-dist-core.png
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