They don't. But they do offer more bonuspoints.
In CL all starters of the LP get 6. Every point you earn after that (2 for a win, 1 for a draw) will be on top of that. For reaching the knock-out phase and in the knock-outs you get also (more) points than in the other leagues. Points are granted on a linear scale. Every next round (R of 16, QF, SF, F) gives more bonuspoints
In EL and CoL you get minimum 3 and 2.5. You really start collecting points after you reached the tally of 3 and 2.5. So last year we reached that 3 after the draw against Plzen and the win against RFS. The wins vs Ferencváros and Slavia were the ones that really boosted the coefficient (so 3+4). For spot #22 in the League Phase we earned 0.75 points. Hence the 7.75. Less bonuspoints in EL in the knock-outs than in CL.
In CoL you have only 6 games in LP. Bonus points are at a lower level than those in EL.
See also: https://kassiesa.net/uefa/calc.html