You can expect more fuel usage from the 2-strokes.
However, they are, in my view, the best option for a push lawnmower on any decent size lawn, particularly with undulations.
I use both 2 and four strokes but the two strokes are significantly lighter and maintenance is much more straightforward. The four strokes are good for self propelled applications and ride-ons where their weight is less of a factor. The 2 strokes don’t need oil changes and can be run on sloped ground without being concerned about oil starvation. The weight saving means I’m less fatigued and can cut with more accuracy. The fatigue reduction means I’m working more within my capacity and make fewer mistakes.
With all the rain we’ve had I’ve left the ride-on in the shed because it slides on slopes and sinks into the sodden soil. I’m only using my big deutcher self-propelled where the turning circles can be large and sufficiently gentle to avoid making a muddy mess. The Victa two strokes, on the other hand, just glide over the surface without digging in. They’re light enough that I can push them up and down the hills all day and I can ignore oil starvation.