re couch to 5k, i'd particularly favor walk/run type schemes. at first you may be only able to run so far/long at a meaningful speed. you are better off with quality work over a limited distance or duration, perhaps steadily pushed out a little more, than a slow plodding jog you can't improve. and then the walked rest lets you recover. to me it's better to run 50 yards then rest -- actually with some oomph -- than to plod through a slooooow mile. you might get to the race distance faster but at no speed at all.
after all, the normal progression of race runners is your competition distance increases with time as you get older. we don't start out running 5ks or 10ks. you might do a half mile run in elementary. they might only let you run a mile or 1.5 mi until HS hits. so we built up the legs and heart and lungs to do it, over time.
my advice is play the long game and don't take some rapid progression in a training plan literally. instead, use the plan more as a guide. as levels rather than literal weeks. week 1 is then level 1. if it says run 30s then rest x, do that. if you are exhausted, maybe just do that a few weeks. wait to go to level 2 until you're handling level 1 well.
to me that is how you avoid becoming some plodding 40 min 5k runner who shuffles through the race slowly. is you start with the short stuff -- almost stride length runs like he's saying -- slowly build up, and then progress along when you can do that part at more than snail's pace without feeling like yakking up.
and when you feel that's mastered, then on to what the plan says for week 2. and so on. and that's confidence building and gets you fitter but in a more real way.
when i restarted running, my approach was to mix up workouts and sometimes just add to the reps instead of the distance. so instead of doubling distance, maybe do the same distance but a few more reps. or do the new distance but only as many reps as you can stand at first.
last, to avoid injuries, only run so many times a week, and if you add more running workload or distance, keep the additional bit a modest increase. rule of thumb i was always taught was no more than 10%. that feels constrained but the game is to stay healthy and ready to do the next run.
counter example, my mom loves to quickly ramp up to 5 miles of walking and every day of the week. then within a month her knee or back hurts and she's shut down for weeks. the idea is to get in, do a workout that tires you some and your legs feel it, but you rest up a couple days, it's not too much, and you're ready to rock on the next day. that may feel silly but you're still running each week which is winning. as is steadily working to the goal.