Hi, Andy,
I do not think that you can disable "read coherency mechanism", the "read coherency mechanism" is operation mechanism of dual edge capture mode.
Regarding your requirement that I would like to always--and instantly--capture the value of both rising and falling edges to their respective C(n)V and C(n+1)V registers, I think you have two options, one option is connecting the captured signal to both FTM_CHn and FTM_CHn+1 channels as you have pointed out, both channels is set up as normal "input capture mode", pls refer to section 40.4.4 Input Capture mode, one channel is set up as for example rising edge, another channel is set up as falling edge, it is okay.
Another option is that you only connect the captured signal to only ONE channel FTM_CHn, you can set up the capture mode as normal "input capture mode", and set the ELSnB:ELSnA=11, which means capturing on both rising or falling edge, you can read the GPIOx_PDIR register to know the rising or falling edge. You can read the GPIOx_PDIR register to get the pin logic even if you configure the pin as FTM function.
Hope it can help you.
BR
Xiangjun rong