I wouldn't call USB4 a later version of USB 3.2. They're quite different. They are different specs. USB4 does include support for USB 3.2. The USB4 spec does not describe all of USB 3.2 - you need the USB 3.2 spec for that.
Yup.
USB4 is the (more open) successor to Thunderbolt 3, using the same underlying 20Gbps tech - and has much the same relationship to USB 2/3/3.1/3.2 that Thunderbolt 3 did. Like TB3, it depends on USB 3.2 and other USB standards for backwards-compatibility & power delivery, but doesn't define them. C.f. TB3 it adds support for hubs with multiple downstream TB/USB4 ports and USB 3.2 tunneling.
USB4 leaves a lot of stuff - like some legacy TB1/2/3 features and multi-display support optional. Starting with TB4, Thunderbolt is effectively just an Intel branding and certification scheme for USB4 devices with a lot of the "optional" stuff made compulsory. All Apple Silicon Macs have had USB4 ports - the only reason that some MacBooks label them as "TB3/USB4" rather than TB4 is that those machines don't support at least two external displays via TB/USB4 - which is a requirement of TB4 certification.
USB4v2 adds 80Gbps speeds - TB5 is the Intel-certified version of that.
It's ridiculously confusing to punters - esp. with the USB-IFs inconsistent way of numbering standards, re-naming existing standards (USB 3.0 -> USB 3.1 gen1 etc.) and insisting on slapping the "USB" tag over
everything. I know why they do it - brand recognition - but it would have been so much clearer if they'd called USB-C - oh, I dunno, "UniPlug" and USB4 "OpenBolt" (feel free to invent better names). Then there's the "latest USB standard doesn't actually require support for its major new feature" fun - which is where Thunderbolt has really come in as "The USB-C port where you can actually make some reasonable assumptions about what it supports!".
It's the USB standard that supports 20Gbps transfer.
More expansively, it's the standard that supports using two USB 3.1 channels in tandem to get a 10Gbps (2 x 5G) or 20Gbps (2 x 10G) connection. C.f. TB3 which goes up to 20Gbps
per channel and can join two to get 40Gbps. I don't think its any great loss that Apple don't support it - it always looked like a dead end with Thunderbolt offering true 20Gbps, USB 3.1
still at the "good enough for most folks" stage and large chunks of the PC market still pretty wedded to USB-A ports (which can happily go up to 10G, but not 20).