no, you don't get more "chances"... your daily income will approach the same value in the long run.
yes, I do get more chances. in an hour I could be in search of x amount of blocks. if I was in an other pool that was half as fast I would be in maybe x/2 searches. my daily income has gone up; I get what you're saying, but the theory isn't proving itself in my case.
think about everytime you start a block, you flip a coin. if its heads, your search time is low; and tail, its high. 10 flips every hour will probably get you more heads than 5 flips per hour.