A remote starter doesn't increase draw; it will cause a dramatic decrease in draw, about half of the delco setup. And the spring won't solve the problem. The role of the solenoid is to kick the bendix into the flywheel, nothing more.
The hot start problem isn't a case of the bendix not engaging with the flywheel. The problem is that the armature doesn't turn freely and or fast ENOUGH TO TURN THE ENGINE OVER, regardless to the possible reasons why the armature won't spin fast enough to crank the engine. The solenoid has zero factor in armature operation, the reason why Ames quit selling the heat sheild as a cure for hot start problems.