Depends on the runner, but I made huge time gains in accel when I focused on lifting more for strength – specifically squatting. I had previously only been doing power cleans and deadlifts once or twice a week, but then I cut deadlifts and added deep, heavy squats 2-4x per week (strength-based workouts like 4×9 and 5×5), and even did a 2-week mesocycle of just squats 4x/week and light power cleans (google “Smolov”) and no running. My 30m split went from 4.45 to 4.05 in just a couple months as my max squat increased from 315 to 365. I have progressed further from there, but for a while I was making ridiculous gains. It didn’t really help my maxV at all, and probably hurt it temporarily because I was running so little, but it was the off season so I had a couple months to get back on a regular schedule while maintaining those strength levels.
I WOULD NOT RECOMMEND DOING THAT, but it shows what a little lifting can do for your accel times. If you are someone who does not do a lot of strength work (and you sound like someone who especially doesn’t like to do deep, heavy squat work) and your accel is struggling, it might be as simple as putting greater focus on lifting. Don’t stop running, though! I did it because of a hamstring injury.
Of course sled pulls, plyos, bounding, 10s/20s/30s, squat jumps, PCs, etc. will all help and are all part of a good training regimen, but for me the biggest thing was just straight up squatting. I think everyone should squat 2x/week As you noted, accel is all about concentric strength, which I was lacking before.