One thing that I really like about pushups and pullups (ofc this applies to other things, but they're two of the best exercises for this) is how can you treat it as a regular practice - a skill, actually - that you can slowly, at your own pace, "master" and refine, experiment with, etc... That's something that doesn't apply to everything in fitness, i.e. some things you usually have a concrete short-term plan to train (e.g. running or weightlifting) for specific goals (e.g. specific runs); running and cardio ofc is sth that's hard to maintain unless you keep training at an intense level (and increasing), that is... unless you treat it as a practice/skill that doesn't have to be purely goal-oriented but can change forms and be a consistent feature of your mode of life... Getting your squat 1RM (1 rep max) to a certain level/benchmark is a specific goal, a great achievement of course but is it a regular, lifelong practice (another example of which is obviously yoga, for some ppl)
It doesn't mean these "lifelong" "practices" are "better" than goal-oriented programs or short-term program/feats, both are great obviously! But I tend to lean towards things that are built/approached in that kind of sustainable, long-term "skill mastery/practice" way^^ I'm less interested in performance as an end in itself (tho it's obviously something that can be great, I'm not "against it" I'm talking about the big/broader picture here) as opposed to training, moving, self-care, skill practice as a lifelong physical, practical/functional, cognitive (possibly even spiritual, emotional, etc) journey, a feature of one's mode of living/being (and of relating to one's environment).
Not to sound like it's New Age BS or anything (which I largely hate), I mean it in a way closer to how some artists/craftspersons commit to their skills/crafts, and to some of traditional martial arts' philosophy/approach (although again, I have a lot of other issues with so-called "traditional martial arts", but hopefully you get what I'm referring to here)