Yes, that would certainly be possible. A bit of effort, but not a very complex change. But no, I won't do it
The reason:
Tomorrow someone asks for 4 different rates. Then someone 5. If we add rates it's going to be more and more complex to understand / memorize the stick configuration. Then we don't have two different rate/expo/deadzone configurations per controller but three, four, five. That's going to create more issues than it solves.
Luckily we already have a fully proportional rate selector. Its called "thumb"

. Just use your thumbs appropriately, and make sure you configure different rate & expo settings for both modes and all axes. Configured correctly it allows both smooth slow flights and sporty runs, and anything in between.
If you feel expo & rate are not enough to do this then my guess is your controller isn't really proportional. Use the gamepad tester app I linked a few times already and check if 10% stick travel really is 10% controller output, and 100% controller output is really only reached at 100% stick travel.
I have a controller that has an output of 0% up to maybe 30% stick travel where it just jumps to 20%, and it reaches 100% very early at maybe 70% stick travel. So there is actually very little stick travel actually used, most of the travel is wasted at 0% or 100%. Of course its very hard to fly if all the controller does is 0% or 100%.
I could also use a simple controller with plain buttons for left and right (which I actually plan to do in a future release as I have a very tiny keyfob BT controller I want to support).
And now to make you happy after this little rant: I hear ya.

I have an idea that is much easier to implement, doesn't confuse newbie drone pilots and might help both of you. What about a rate limiter button?
A button that cuts the given rate in half when pressed. All other settings like expo and deadzone will remain the same, just the rate is temporarily cut in half.
Say you configure 60% rate for video mode and 100% for sport mode. You can fly using these rates, or you press the button and fly with 30% when in video or 50% in sport. This will affect all axes of the drone.
The button will only be available for mapping to an external controller button, and will only be active while pressed (momentary switch / push button). If I do it otherwise I'd need some precious screen real estate and I know I'll have better use for that in the upcoming releases.
Keep in mind that people like me still fly with phones like an S4 mini (I prefer phones sized for single-hand use). So there isn't that much room left