Litchi is not advertised as a DJI Go equivalent or "cheaper alternative". It couldn't be, because DJI Go is free. Litchi is a more advanced app, and you pay a premium for it ($20+). People wanted to try and test the claims of this app and that is how it has that reputation now.
Buying carbon fiber propellers would be a better analogy because those too advertise "better" than DJI propellers and you also pay a premium for it.
These examples are essentially "upgrades" and the question comes to play, is it worth it to pay for it?
Buying cheaper than OEM propellers, to save a dollar, is not the same thing. It is not an upgrade, there are no other benefits other than to save a dollar.
Litchi = Introduce risk, at the cost of $20, for the possibility of a better app experience.
Carbon Fiber propellers = Introduce risk, at the cost of $100?, for the possibility of better than stock propeller performance, durability, longevity and any other crap they claim.
Knockoff propellers = Introduce risk, to save a dollar, for a possibility of nothing other than to save a dollar.
Litchi is off topic, but it was brought into question, for reasons unknown, hence why it is a flawed analogy.
As far as DJI "dont know what props were on the bird" is a question of your integrity, your honesty. I can guarantee you if you told them that your bird crashed for no apparent reason and that you installed knock-off propellers, your warranty claim would most certainly be voided.
I'll end with that.