are there any drawers/doors in that cabinet?

Yes, both

Here is a different angle. The cabinets are on the other side

Wow Adrianne, such a unique and elegant look! I thought it was an inspo pic out of Elle Decor. Love your hood, stools and especially your pendants. Great job!

As far as proportionality, yours looks better.

@Adrianne D. - it looks fantastic as is. I would not want that counter to be thicker. Both for the reasons that @User pointed out, and also such thick counters would make your gorgeously airy kitchen become more weighed down by the heavy island counter.

You measured correctly; it's not 3 inches.

(I agree with the others that it looks fine, though. Personally if it were mine, I would let the fabricator know that it was incorrect, but due to my magnanimity, I was going to overlook their failure.)