Not really. Silva and Ozil are fairly similar players, Mata isn't, even if they're all preferred 'No 10s'.
At Chelsea he wouldn't run games like the other two do, though you could argue that's because of their tactics. But since he's been to United he's played all over the place, and I'm sure you'd agree that his strengths are his technique, his finishing, and his attitude, but not his creativity, passing and play-making abilities. He has more of the skillset of a forward than Ozil and Silva, but without the physical attributes to shine there against every team in the Premiership. That's why he hasn't been able to make it as a '10' at United, and why he could still be a success for you, but it would have to be (IMO) as an end-product player, instead of a creator.