They certainly make a difference, it's because cylinders cut with a clean scissor action rather than tearing and slashing like rotaries. I used to cut my lawn with a push cylinder (recently bought a 2nd hand petrol powered one that I use now), until some stupid scrub turkey decided to drag rocks and stones all through it, and I noticed it was a lot healthier using that than the rotary mower. They make walk behind cylinders up to 30" or at least used to, you might be able to find a second hand one somewhere.
Cheers,
Kelsey