Shredded cardboard mulch

So far my favorite mulch is living much. I have been having good luck just crowding so much in, there isn't much room for weeds, and the soil is covered helping with evaporated.  I have a few beds that have a bunch of stuff reseed, so it's almost at there. But some of the newer beds have veggies just starting, so there's a lot of bare soil. There's not many weeds, but it gets dry very fast.
I have been thinking about a thin layer of shredded cardboard. Part of me thinks no I have heard bad stuff about the glue in cardboard. But I do put shredded cardboard in my compost, and in the worm bin, so what is the difference?  Our family orders to much from Amazon. I bought a heavy duty shredder, and shred the boxes. So it's free, and uses something that would other wise be trash.  
I'm an organic gardener. I plant organic seeds and seedlings, I do my best to build amazing soil, so I don't really need to fertilize, and I don't even use organic pesticides. I have used my worm casting, but I haven't used my own compost yet.  So I just wonder if using cardboard is at odds with everything else I'm doing.
Has anyone done this before?  If so what did you think?    
Thanks

I happily use corrugated cardboard as sheet mulch. But as you say I know some people prefer to avoid it because of the glue and processing. If you currently use it in your compost, then I really can't see it does make much difference to compost it in situ. Maybe if you take the trouble to sieve the bits of debris, if any, out of your compost then the end result is 'cleaner'.
My opinion is not to sweat about 'the small stuff' and that much minor contamination will break down in good soil in time. I always try and take all the plastic tape bits off. I wonder whether the tape is still cellulose and whether that is biodegradable in time - doesn't seem to be so far for bits I've missed!
Better to get growing and use what you have as a resource in my opinion, rather than aiming for perfection and ending up with bare soil or too many plants but no food.

I feel that is a great idea.  Anything to keep things out of landfills is always a winner with me.

When the mulch needs to be refreshed, just pile on some more.

Jen said, "I'm an organic gardener. I plant organic seeds and seedlings, I do my best to build amazing soil, so I don't really need to fertilize, and I don't even use organic pesticides. I have used my worm casting, but I haven't used my own compost yet.  So I just wonder if using cardboard is at odds with everything else I'm doing.

It is just another component in the big scheme of all things permaculture. What you are doing is amazing.