Why don’t you just call soldiers, soldiers, or draftees, draftees?
Presuming you are not being sarcastic or snarky, perhaps you could explain when and why to you the distinction amounts to a difference. The U.S. has been an all volunteer force for decades on end (with the exception of certain military members having been given the option of military service by a judge after a criminal conviction in lieu of a jail sentence), so no U.S. personnel in Ukraine would properly be described as draftees. In Ukraine it’s presumably all draftees with no choice but to serve in uniform, same with regular Russian troops. By conscripts or conscription is meant the state-mandated enlistment of people in a national service, in this case, a military service. Mercenaries are different, of course, but who knows how the actual troops called mercenaries are roped into actually going into the hottest of hotspots, so-called “meat grinders” as the battle currently taking place in Bakhmut has been described by a former U.S. marine.