Players will detect drama being injected into their randomness (unless it is very gently and rarely done), and over time they will start to be able to predict dice rolls [edit: or even learn to shape their responses to trick the model into generating the rolls they want.] That will ruin the game.

Xcom 2 make hits more likely the more you miss because fair proba was frustrating the players when they missed a shot with 95% of success.

So I'm not sure you are right.

A 95% shot will never miss in Xcom 2 unless you play on harder difficulties. It multiplies hit chance by 1.1 so 91% is 100%.

Should I find myself making a game and wanting to put my finger on the scale like this, I will reduce the probability of missing by 10% instead of increasing the probability of hitting by 10%.

So a 95% chance of hitting would become 95.5%, but a 10% chance of hitting would become 19%.

So that's not removing randomness, it's just grade inflation. I suppose it's also secret range narrowing, since an 3% improvement from 92% to 95% is actually no improvement at all at 1.1 * (random) capped at 100%.