The autodescent started around 4:26 with the battery at 22%.
It's different from what happens with other DJI drones which would come home at RTH height (or above if above RTH height) until directly above home or until the critically low battery level initiates autolanding to protect the drone.
This might be a new way for DJI to program the Mini but I can't be certain as I don't have one to test.
From 4:26, while autodescending, the drone is still attempting to RTH but being blown further away.
I suspect you could have had control even if not able to stop the autodescent.
There are several times when you gave it joystick input but they were too brief to see how they affected the flight.
Probably not against a headwind that was blowing it backwards in RTH mode.
At 17% you should already be home.
The battery is too low and would not last long pushing hard in Sport Mode.
You would have soon hit critical low battery level (if it wasn't already there) and the game would be over.
Strong headwinds are a serious problem that you have to understand and plan to avoid being stuck like this.
If it's a strong wind on the ground, it will be stronger up high. (Don't leave your drone up high when battling a strong headwind).
If you fly away going downwind, you have forced yourself to battle against a headwind for the return flight.
You started at 42% which really limits your flight options before you start.
Something goes wrong or you see something interesting that tempts you to stay up a little longer and before you know it, the drone is at critical low battery level and you have no options.
But it's probably more serious than that.
I don't know about the Mini, but the % indicator for all other DJI drones is only reliable if you start with a full battery.
It's very common to see fall-from-the-sky incidents when people launch with a battery that's been sitting around and actually has much less power than the % indicator suggests.
You should treat your fuel level as if you were flying in a real plane.
Only launch with a fully charged battery and always land with a healthy reserve fuel level.