To be fair, I'm sorry to say but your layout doesn't look very good.
Likely, it's possible to make reasonable-to-good boards with their process, making some allowance on design rules. This is standard; there is no absolutely consistent spec that all manufacturers will adhere to, and ultimately it is your responsibility as the designer to work with the capabilities of the board house you're ordering from.
The IPC has some standards, which most manufacturers adhere to. But ultimately, it's as with any other purchased part or contract: you tell them what you want, and you decide if what you received is satisfactory or not.
That said, obviously, the better producers will try to make things better than spec, not marginally at it. So we get the answer to the question we had already guessed: "do you get what you pay for?"
Economics aside... how's the soldermask strength? Is it weak and easy to chip away, or tough and strong? Do you have a micrometer capable of measuring the foil thickness? (Peel some off, somewhere.) What's the peel strength, good? After scraping off the soldermask and peeling up a corner, does the rest come up easily under the soldering iron, or is it fairly adherent while hot?
Tim