No real problems turning and machining acrylic but with care!
Cleaning the inside of a drilled holes is a pita and difficult to polish if that matters while outside turning and polishing is very easy. be careful when drilling for breakout, very careful with thin sections and don't overheat the acrylic or it will crack or craze.
Acrylic was / is used in many machines, vending and pub industries for example and I have a demo piece somewhere with multiple polished and threaded holes.
One other consideration, there are 2 main types of acrylic manufacture which gives the material different properties, those are cast or extruded. Cast is much clearer, more stable and by far the best for our purpose while extruded is softer, absorbes more moisture and has extrusion marks which can be difficult to remove. From memory, most rod is extruded while sheet is available in both so use say 20mm cast sheet where you can. Cast btw is also more expensive.
I was lucky enough to aquire a number of offcuts when I was in the industry - just sitting there waiting for the right projects
I do look at them occasionally!