You're not the first to notice that in combat healing is not as strong as incoming damage. I would think that is intended in the design, if in combat healing was stronger, it would put more focus on healing spells and their application to maximize combat potential...leading to the "Who's going to play the cleric?" syndrome. Granted, some players prefer that style of play, and you can get fairly close if you put your resources into it.
Personally, I prefer in combat healing being a bit less effective, as it fits the fantasy narrative I enjoy a little better.
As for HW vs CLW, you may have a point there on the comparison, but I would just like to note that in most past editions, healing took an action and was touch range as well. I would advise you to wait before adjusting the healing in the game. 5e is calibrated a little differently, and more classes get healing magic, not to mention things like Second Wind & Short Rests. There's also the alternate short rest rules in the DMG, making it 5 minutes. One of the reasons that short Rests in 5e are an hour long, imho, is to make it more of a hard choice of when to rest, whereas with 5 minute rests, it's pretty much after every encounter.