See, this is not something that I would see as a contrast between 4e and 5e - what you describe here I would regard as being as true of 4e as of 5e.one complaint I see all the time about 5e is that players rarely spend Inspiration, and Personality Traits, Ideals, Bonds, and Flaws end up ignored as a result. This is not something I experience, because players always know that a check is going to be required, the DC, and the consequences, so they are more apt to spend Inspiration because they don't have to guess how difficult a task will be or how severe the consequences for failure will be.
Looking for ways to mitigate the effects of a raw d20 roll (by way of adds, rerolls, etc) is something I see as a core part of playing 4e.
Which makes me think that perhaps you and/or some other posters in this thread approached 4e differently from how I did. (Always so hard to be sure - lots of moving parts in anyone's approach to a RPG.)