Honda loves to make transmissions where you can't feel it shift. They have so much "slip agent " in their OEM ATF fluid in some of their conventional AFT transmissions that the long term outcome have been at times, a bad transmission. When you have a transmission slip, you have heat and you have wear, the two things you don't want. I had a couple of Honda's in our family and the first thing I do is drain the ATF and completely flush out the crappy Honda cheap ATF and install Redline or Amsoil ATF. Then when you are refilling you add 3 plus QTs of Redline or Amsoil's racing ATF that is a Type F that has almost no "slip agent". This reduces the programed in slip Honda uses for their butter smooth shifts that create heat and wear. This was how you could get your Honda Odyssey and other Honda transmissions to last a lot longer and save you a $5,000 -$6,000 rebuilt transmission.
Yes, this fast multiple gear shifting is normal for the Kona DCT. There is also a small "stumble" when starting out at say a stop sign, that seems to be there for almost everyone with the DCT (dual clutch) transmission. Many of us have also taken out the intake resonator that is basically a muffler to quiet intake noise. Which I might add, most here feel after taking this out and putting in a solid tube there is almost no increase in sound. Adding this (not a warranty issue, but Hyundai won't put it in for you) This resonator delete, time/break-in miles, and a bit of more aggressive starts/driving will reduce this stumble. Just be glad the DCT is not a 9 speed transmission like some cars/trucks have. The small delay is somewhat inhaerent of this DCT, it takes some time to get use to, and you learn not dart infront of moving traffic thinking you may just make it in time. You will learn your entery timing with time. Check this link below and it will show you pictures of what I am talking about.
Disclaimer: This is what happened to work for me. Follow at your own risk. Tools: 8mm wrench, flat head screwdriver, and hairspray. Yes you need the hairspray. Prerequisites: Pop the hood, pull the engine cover(pull straight up on it), and have a new intake pipe in hand. Step 1...
www.hyundaikonaforum.com