You could send your coin to multiple deposit addresses to a mixer, and have the mixer send you a single output.
Yes, this sounds good to me!
If you engage in the above, an observer may still be able to draw a link between the inputs and outputs in the mixing service.
How so? Isn't this what the mixing service is made for? To remove links between inputs and outputs?
From the view of the blockchain, I'd expect a mixer that takes multiple inputs on multiple addresses and sends me back the total to like 2 different addresses, to do it in a way that no trace is visible.