Now I recall that most of the steel that I buy from the local steel yard is specifically A36 hot rolled. Compared to 1018, A36HR is less expensive, more ductile, and more difficult to machine to a mirror finish.
A little Googling reveals that abrasives or a surface grinder are usually more practical (faster and easier) in order to achieve a mirror finish on A36HR.
I imagine that many an entry level machinists have been humbled by A36, not realizing that their choice of material set them up for this frustration.
As with any material, a more rigid machine and workholding setup, improved trammel, fine tuned feeds and speeds, clearing out chips (particularly if using an insert with a wiper), oil, and cutting tool selection (material, nose radius, quality) can optimize the surface finish.
Compared with most other steels, choose A36 for affordability and weldability at the expense of machinability (with regard to maximizing surface finish) reduced tensile strength.
A36 scratches easily and can be porous.