No, global hash rate is calculated based upon the current network difficulty and the block solve times. That's why you see crazy spikes up and down in the overall hash rate - it's just an estimate. The global rate has no knowledge of any pools or their hash rate. Even pools only calculate their hash rate based upon submitted shares. They really have no idea what at what rate your miner is hashing. They estimate it based upon share submission.
That's why the difficulty adjusts every 2016 blocks... that was assumed to be a long enough time to get a pretty good overall feeling on how the network is performing and still be relatively resistant to variant spikes.
OK, that makes sense. In which case, bad luck should just be bad luck unless there's something inherent in certain ways some pools do things.
Of course there is "something inherent in certain ways some pools do things."
There's block change times, which affect the appearance of blocks and the amount of orphans.
There's block format that affects the distribution of blocks (and the amount of orphans)
There's pool distribution of blocks which affects the amount of orphans.
To put it simply, as an example, eligius fails on all of these.
Block change times are slow on eligius, I've compared my pool to eligius on multiple occasions, and each time found eligius wanting.
luke of course lied about it in the bitcoin github, but it's a simple thing to compare the block change times of 2 pools by running two miners and seeing the block changes on the two ... ... ...
They also use the same format for the coinbase as p2pool.
A p2pool block has a large coinbase, so that coinbase will slow down the propagation of the block around the internet.
This is OK on p2pool since it has a good distribution network by design - every p2pool miner distributes the blocks found.
For any other (non distributed) pool, a large coinbase will have a bigger effect on producing more orphans.
Then there's block distribution itself, which as I've already said, p2pool solves that itself by having a large network of miners each with a bitcoind
However, many p2pool nodes have been centralising p2pool, so this of course reduces that advantage over normal pools.
So there's just a few of the very specific items that affect what is incorrectly called "luck" by everyone, since some of those items are NOT luck.