There are runners who prefer more heel for cushioning, and those who prefer less. One rule of thumb is the harder the running surface, the more appreciated a little extra cushioning will be. It’s the change that will get you. Any transition from one shoe type to another will probably be better tolerated if it is phased in gradually. One way to do this is to wear the new shoe on the shorter run first, and gradually up the percentage of total mileage over a month or so. This gives your hips, knees, ankles, and the associated muscles a chance to adjust.
Personally, I favor minimalist footwear for shorter distances and racing. I like the more structured shoes for long distance training. Accordingly, I don’t like staying in the same shoe all the time. Looking back over the years, it seems I have stayed healthier when I alternated distances, and matched the footwear in this way. It’s one way I avoid overuse injuries, from too much of the same old motion.
Many running enthusiasts believe that the calf muscles should be the primary shock-absorber for your footstrike, and not the heel of the shoe. This school of thought holds that relying too much on the heel leads to weaker muscles, sloppier running, and susceptibility to injury. Others point out that muscle fatigue on the run is more dangerous, and that a more forgiving heel allows for better endurance, more stability, and faster recovery. Of course, there are many factors involved with the building of an ideal shoe for each type of runner.
One thing is for sure: a higher heel means the calf muscles will be working within a narrower range, ie: shortened. This often leads to muscle stiffness, not only in running, but in any sport that suffers from too narrow a range of motion. My guess is that you are one of the many runners who do better with a lower heel, but the only way to be sure, is to introduce the change between heel heights over time, so you can differentiate between an unsuitable height for your anatomy, and problems stemming from too little time to adjust to the change.