The problem is that the imaginary journalist has an agenda and will completely ignore any "shut-up and calculate" answer. The author really needs to make a better case about the interpretations having different empirical outcomes, because it's not obvious at all.
Problem is that mathematics isn't enough to make it useful (i.e. predictable) you need a combination of math and experiments to turn it into something that can be used.
There's nothing in it about math being a perfect language, or experiments not being necessary.
If you want to shut-up and calculate by all means. That doesn't mean I or others have to. After all we are humans.
But it is the most usual approach (or, at least, almost everybody works under it almost all the time - but people may identify with somehting else), and the article didn't make a good claim for why we shouldn't just shut-up and calculate.
A paradox is just a scenario that betrays the subject's lack of, or inappropriate, context. They are a perceptual phenomenon. Indeed, language and imagery will not explain QM and there is no problem with that. The only philosophy required is that which understands that different tools are needed to work appropriately with different layers of complexity and scale; the proven appropriate tool for the apparently most basic layer is math.
So if you will allow a complete novice some wild speculation here to provide a different perspective.
Maybe they are just two different fields with a different base premise and maybe thats ok.
Perhaps what is really shown here, is the limits of western thought process.
I have always wondered if zen buddhisms way to deal with reality, is much better capable at explaining whats going on because it's comfortable dealing with paradoxes ("If it's not paradoxical it's not true" as Zen Master Suzuki Roshi wrote).
I am not a zen buddhist and there is a big risk that I as a westerner don't understand zen buddhism (I know i don't understand QM) but it seems to me that western semantics and rhetorics are actually getting in the way of providing us with a way to be at ease with what seems to be a fact; that we can't explain QM through language.