It's 'and', not 'or'. Tyres are better at absorbing the high-frequency vibration from surface texture, spring-and-damper suspension absorbs transients from holes and lumps. Suspension does more than wide tyres alone. The question becomes one of whether it's actually worth it.
...Which comes down to things like wheel size, what sort of riding you're doing, and how much ulnar nerve (or in the case of recumbents, spine) abuse it takes to ruin your day.
But yes, it's also a feature they can add to the bike to make it 'better' than the other model, and the average newbie doesn't see a suspension fork as a thing that goes wrong if you don't strip it down and re-grease it every year or two.