I have no idea if the Hobart Stickmate 210i will run 6010 or not. Many of the cheaper inverters will not run 6010 very well but do run 6011 just fine.
If you are not doing code work then you are perfectly fine to use 6011 for your work as you see fit. I use 6011 as I can easily find and buy it anywhere in small 5 to 10 lb quantities. 6010 is not near as easy for me to get and if I do then I have to buy a gigantic 50 lb quantity to get it. Many weld properties of 6011 are actually superior to 6010 (example 6011 is slightly more ductile).
If you plan to do code level job work or plan to practice for stick welding jobs that involve code work then I would want a machine that will run 6010 and 7018 well as those will be the 2 most common rods for code type stick jobs. If neither of these are in your future then I would not pay a premium price for this ability for backyard work.