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Anything with a management interface (even web) could do it from the HW side, just a question of SW support. Netgear does support it on managed switches.

The protocol is old enough and very well established by now, even modern Windows boxes run it by default.

I know mikrotik supports this. On the higher end, most of the Dells switches I interacted with as well as Aruba had LLDP. Different manufacturers tend to report their interfaces slightly differently though

Almost any managed switch will support it. Netgear does. Ubiquiti definitely does, even their APs do.

Used Arista 7124 and 7150s are pretty cheap on Ebay.

anything that can run openwrt

Nope, you need switch silicon with a driver that punts 01:80:c2:0:0:0e to cpu. A lot can do this but not all (generally a driver issue, not HW limitation.)