Also wondering if they get 130% production out of the Wartime strategy slider settings of 0.3 Wealth/ 0.5 Manufacturing/ 0.5 Research.
I'm almost 100% sure it doesn't - they total is taken as 100% and then the correct position is calculated as a % of that. In the example above, it would get just under 40% each for manu/res and just over 20% for wealth, though it's also unlikely to stick overly closely to that either - it'll use much more wealth than it ought to usually, as it's pretty careful to avoid bankruptcy and so will try to break even once it reaches the strategy's stated wealth floor.
As to coercion... I've no idea if it is effected or not, but due to it pushing wealth up to match expenses when it's running a deficit, it would cancel out any coercion it ought to be receiving anyway.