Two benches are handy to have, one for rough work and another for nice work.
One can have a thin top and be flipped over for metalwork or whatever...
though I doubt Smalmaleki will be using his bench for the likes of that.
I'm just a hobbyist also, and have no funds for an expensive planer thicknesser even when broken / little room / rented place with 13a plugs, so it's not very fees-able to get a proper PT , and those noisy lunchbox things seem pants to me, and would attract unwanted folk, regardless of any 'lockdown' happening.
That's why I treat my benchtop as a surface planer bed.
Might not be important for someone who's making picnic benches, but for making
something of the caliber of SM's bench, i.e cabinetry or equally tricky stuff,
it makes sense to have something you can trust.
Virgin timbers are out of my price range, well the kind that won't become a meal for the beetles, so I end up reclaiming tropicals and laminating them a lot of the time, thus a reliable method of planing enabling me to be more frugal with the materials I have.
Regarding making the bench flat
I suggest making a pair of parallel straight edges, and no shorter than the length of the bench, otherwise you will make a concave surface which translates to
the opposite thing happening in the work.
(the ends being nipped off, leading to much wastage)
A plane is much less prone to creating such an error by hollowing the work out.
These lengths can be flipped over to double any error that might happen,
I shim this thin benchtop until its leveled with some very nearly square blocks
so can be rearranged for seasonal movement.
Tom