Heya,
Stop using Auto anything if you're doing HDR.
Inside, the light was pretty much static, so your "auto" modes were not freaking out. This is based on what metering mode you were set in. Evaluative will have the biggest fluctuation. Spot will have the minimal.
Outside the light was changing and very dynamic, so your auto modes were going every where. Again, subject to your metering mode choice.
If you want to do good HDR, expose yourself, don't just use AUTO modes of any kind. Certainly not AV and definitely, definitely not Auto ISO. If you're going to use AV, at the very least, use a static ISO value. If you're worried about shutter time and motion blur, simply set ISO to be a high value. The last thing you want to do is blend an image with ISO 3200 and an ISO 200 image in HDR really. Or any really high value that is quite different from another. Use the same ISO value so that the images exhibit the same noise level. It will achieve a cleaner overall blend. I use high ISO when I want my lowest shutter speed to be sufficient to still stop motion blur (say on a windy day). But otherwise, the goal of HDR is to achieve more dynamic range. Using higher ISO you will start to lose dynamic range.
Very best,