John,
Why worry about the curve, who says it has to be flat anyway.
The critical bits are getting it the right angles which is where an adjustable tool rest comes into play and getting them sharp which is where the choice of wheel comes into play.
When you start off in this game the learning curve is quite steep, as with any new interest so don't try to read more into this than is necessary.
If you need to account for the curve, puff out your chest and inform the purists that it's hollow ground, a process they have been doing for years on Knives, scissors and slitting saws to get the best shape and cut.
Many even grind a chip breaker groove in the top that forces the chipping to curl up and breakoff and do away with the birds nest stringing.

Remember, right angles and sharp.
Doesn't hurt to have a small motor with a diamond wheel on for lapping. Someone, forget who put one on here only a few weeks ago made out of a central heating pump motor. That would be ideal.
Now some purist is going to tell me that you shouldn't use diamond on HSS as the carbon transfers to the wheel and blocks it. However with these cheap electro deposited ones that doesn't happen. I have been using one for about 7 years now on carbide, HSS, brass where there is a brazed joint, pencils and split finger nails and it's still OK. Put it like this, that £8 ? wheel has probably saved me £500 in tips and other cutters by giving me a second life.
Theory is great but practice rules every time, with lathe tools you need to grind one and try it, that's what gives you experience.
In another thread on chamfering someone posted they hadn't finished a tool and cutter grinder so they couldn't grind a tool to a given shape. What's wrong with freehand grinding ? You don't need a machine for everything.