Your form is at least decent in both vids. I'm sure there's something that can be nitpicked on, but I can't see it.
What your describing doesn't sound like anything that's wrong with what your doing, but just the nature of the two lifts your comparing.
Low bar uses a lot more hip/back than front squats.
Also, your lift ratios are well within the realm of normal. Often as people become more advanced, their squat will catch up to their deadlift.
It's also very common for front squats to feel more natural. So much so that front squats are often employed as a form progression to back squats. Sometimes, I even see trainers progress people new to squatting in this fashion: goblet squat > front squat > back squat.
Many people commonly say that low bar back squats feels unnatural. This is perfectly normal and the way to overcome it is to low bar back squat more.