Correct. You get a percentage of what is mined/minted based on your percentage of the total pool. If you were the only person in the pool, then it wouldn't matter how much you had in there, you'd get it all. If you hold 10%, you get 10% of the rewards. If people leave the pool and your stake becomes 20% of what's in there, you would then start to get 20% of the rewards.
If the APR is currently 250% and the pool doubles in size, the APR would go down to 125%. If you were the one that doubled it, you'd only be getting 125% but you would be making more actual reward because your percentage of the pool would have grown substantially.
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