For turning tools it's best to use a wide wheel slow speed grinder than narrow high speed if possible but many of us use a Sorby pro-edge or similar machine, there are as many opinions on sharpening as there are days in the year so you've possibly started one of "those" threads
What I'm saying is my own personal opinion based on my own experience. I own a variety of diamond plates, oil stones, a high speed grinder, a Tormek T7 and the pro-edge, each have their place in my workshop whether for bench tools, carving chisels and turning tools but are also used for other tasks, shaping metal, cold chisels etc. oh and I also use a largish belt/disk sander.
For my turning tools I use nothing but the pro-edge, when turning you need regular, quick touch up depending on the material you're cutting, a burr on the tool isn't a problem and for a scraper can be of benefit so it takes just seconds for a repeatable angle and sharp edge the only time you would overheat is if doing a profile re grind when you'd need to cool the tool.. A grinder can be just as good but I prefer the flat grind of the pro-edge note you can also get that by adapting a handheld belt grinder or abrasive disk if you have an outboard facility on your lathe, too much faff if you haven't
As I said, personal opinion to accept or reject so now just like when grinding chisels, stand back and watch the sparks fly on here.