If existence is not an expression of design, then what do you imagine it is that scientists are trying to ascertain through the scientific process?
Accuracy.
We can infer something more or something less. But at it's core, the Scientific process is nothing more than our best method for ascertaining accuracy of observational phenomenon. That's all there is to it.
You're loading and projecting something else onto it if you're trying to argue that Science is the method of "uncovering god's majesty" or however it's usually put. The same could be said for those who think the Scientific process is antithetical to religion. It's not either of those things.
And since, by definition, design expresses a specific result, and not just any result, I don't see how you can argue with the assertion that the result is the design's intent. And that design, therefor, expresses intent.
I'm assuming of course that you're referring to design by a Designer, and not simply the benign design of an operating system. But, again, I have to ask...
Wouldn't any functioning system, APPEAR to be grafted by a Designer?
Wouldn't any successful species APPEAR to be preferred by said being?
BONUS QUESTION
What's the difference between a working Universe with no Designer and a working Universe with a Designer?
It's a very important challenge for your position that is commonly avoided.
*The previous argument that flaws in design are part of the design is not a good excuse - it just exacerbates the logical dilemma of Intelligent Design's main component; the design itself.
And further, if it requires intelligence to recognize and understand the process of designed intent, and clearly it does, then I don't see why one would object to the assertion that designed intent is an expression of intelligence (since it requires intelligence to recognize it), or why one would object to labeling such designed intent, "intelligent design".
You've jumped from A to D without establishing B & C.
In short, the objection comes from your argument's inability to properly connect the sequence.
You're asking me to accept that there is a Designer with intent without first making a decent argument for design, intents, outcomes, or Designer... That's a big problem.