Jim’s summary is spot on - they really are different beasts. Although cylindrical surfaces can be ground on a T&C grinder you rotate the part by hand because this function is really intended for sharpening flutes on mills and reamers. I suppose you could make a motor driven workhead but controlling feeds and accuracy would still be an issue. Also T&C grinders operate dry and remove tiny amounts of material relative to cylinder and surface grinders.
I have a T&C grinder in my small workshop but I don’t have room for a cylinder grinder so I use a toolpost grinder on my lathe for OD and ID grinding. Accuracy to tenth of a thou can be achieved by swivelling the compound to 5.7 degrees. At this angle every 1 thou indexed on the compound will give 1 tenth of a thou towards the spindle axis. But there are a few issues you need to be aware of: if you’re working to tenths or microns accuracy you need to control temperature since grinding generates heat which causes measurable expansion. This means your lathe needs a flood coolant system. Another issue is protecting the exposed bed from the effects of the fine particulates generated by grinding. And a third point: can you reliably measure to the accuracy needed? You may need to factor in the cost of micrometers, slip gauges and surface plate if you don’t already have these. Finally, how old and worn is your lathe? My own is about 60 years old and the bed is very slightly worn near the head stock. It’s not enough to worry about for normal turning but it’s enough to make a 12” long shaft 2 tenths larger in the middle than the ends. So I know that for certain work where the geometry is tight I will have to hone after grinding.
I don’t want to put you off either approach, it’ll depend on the type and amount of work you need to do - only you can decide!