You are on right path. Its of no use for consumer. Private 5G cant compete against WiFi with current ecosystem. The end devices dont support 5G modem (or 4G). It cant compete against WLL (Wireless in Local Loop) (Means Wireless based broadband service). As you need dedicated internet service to configure p5G (private 5G) and to let it remain active, there is no business case for p5G for broadband service/WLL. There is another service, FWA/Fixed Wireless Access, by different 5G provider where you get a receiver which is connected to home router.
Good question is, what this hype of p5G:
1) Industrial area coverage: Where you need 50 WiFi radio unit, you can provide service with 3-4 p4G/p5G radios.
2) Hazardous areas: where you cant provide the networking at all the corners or areas, one p5G radio blast area (esp with beam technology) can provide the coverage.
3) Security: Mobile phone systems are based on shared secret and proven to be secure in terms of access compare as well as on air to other technology.
4) Packet loss: Less packet loss compare to WiFi (believe me, its big deal in Industrial world)
5) Compatibility: what's a negative for 5G modem (not many devices are available), is positive to some extent. Once investment is made with 5G modem, the device can be on road too. THink like, acting like enterprise node in p5G area and limited services outside (or device consumer).
6) Edge computing: With new standards, the applications can run at the edge. Those can be done currently with WiFi too. But WiFi has limitation of devices counts (too many needed), path reliability and geographic coverage. Whole factory or port or airport can be covered with small p5G footprint with specific applications running at the Edge (I live in this world :) )
p5G will be game changer in enterprises with large complexes with moving assets.