It's funny that you guys bring up Eldritch and stacking bonuses, because I was just talking to my cousin about FFG's absurd stingy nature with regard to dice, and I brought up Eldritch. They give you FOUR fucking dice, when it's ridiculously easy to walk around with an average of 5+ dice, and not at all hard to end up with 10+ on some rolls. And they give you FOUR. Basic fucking 6-sided pip dice. Come on, what the fuck.
This came up when playing XCOM and on our final mission we had 3 elite soldiers doing a task, so had to roll 6 dice. My cousin brought up that there's probably a cap of 4, given they only provide 4 dice, but I brought up the Eldritch example and he conceded the point, and we rolled 6. I also never saw anything mentioning a hard-cap on rollable dice in any of the XCOM rules/tutorial.