One issue with having a random number generator that produces values between 0 to 255 is that you get a broken distribution if you need values of a smaller range, and makes use of modulo.
The following shows the number of matches from modulo 2 and up to modulo 25.

2: 128 128
3: 86 85 85
4: 64 64 64 64
5: 52 51 51 51 51
6: 43 43 43 43 42 42
7: 37 37 37 37 36 36 36
8: 32 32 32 32 32 32 32 32
9: 29 29 29 29 28 28 28 28 28
10: 26 26 26 26 26 26 25 25 25 25
11: 24 24 24 23 23 23 23 23 23 23 23
12: 22 22 22 22 21 21 21 21 21 21 21 21
13: 20 20 20 20 20 20 20 20 20 19 19 19 19
14: 19 19 19 19 18 18 18 18 18 18 18 18 18 18
15: 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17
16: 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
17: 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
18: 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14
19: 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13
20: 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12
21: 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
22: 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11
23: 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
24: 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10
25: 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10

Simulating a 6-sided dice, there would be a 2.4% greater chance to get 1, 2, 3 or 4 in relation to 5 or 6.

Simulating a 20-sided dice, there would be a 10% greater chance to get 1..16 compared to 17..20.

So pseudo-random or not, the code must make sure that the max range of the random generator works well for the specific requirements, or perform a correction. In the example of a 6-sided dice with a random number generator that produces values 0..255, the values 252 to 255 should be ignored.

The problem is the same when using the timer directly.

Having a larger range for the generator will just reduce the percentage error in distribution.