The end result desired is to control head clearance and reduce case stretch.
A once fired,unsized case will have theoretically zero head clearance. In real life,brass springs back some,other variables play.
But once fired brass ,fireformed to the chamber is a good starting place. You have that.
As has been mentioned,the SMLE was made to have the situation corrected with standard armorers replacement bolt heads. That would be a great solution if you could find them. I would not expect to find them hanging on a peg at Sportsman's Warehouse.Thats the "cure" to resolve headspace in the rifle.
The "remedy" can be found in handloading techniques. Its really quite common for belted magnum handloaders to ditch the belt and rely on the shoulder for minimizing head clearance to extend case life.
We have more than one way to get there. One way is backing your sizing die off "some" mostly "cut and try,till it works". I have done that. I even introduced horribly messy candle smoke to the shoulder...about 45 years ago.
It was a variable,time consuming method. A machinist career taught me how to use measuring tools to determine first what I have,then make a correction of a known amount. The Hornady caliper attachment supplemented with feeler gauges is one reasonable way to do that.
The method I use involves inspection tools I already have. A granite comparator stand,a dial indicator,and Wilson bushing "Cartridge headspace Gauges" Thats what the maker calls them. I don't suggest anyone needs all that. It can be used. It works good.
Neck sizing. Great idea. Neck sizing is not the same as partial sizing.To truly neck size,you need a neck sizing die.
Partial sizing with a standards sizing die loses the idea of the fireformed case.
Peel a banana. Take half of it. Close your hand and squeeze.Note the banana gets longer as it oozes out the ends of your fist.Partial sizing still squeezes he case body down in diameter, You just give up any control over the shoulder. The shoulder will be wherever it oozes
Partial sizing will increase the case head to shoulder dimension. No big deal,but you still have to set the "shoulder bump" by adjusting the die.
I just accept that up front,measure the fireformed case,and adjust the die to give me a known ,repeatable head clearance, A feeler gauge set used between the shell holder and the die can give me a known.repeatable increment of change. If I want .003 head clearance,I can get there.
A feeler gauge set is a common ,inexpensive,useful tool.
You do it your way. I'm just passing on 30+ years career as a machinist who knows multiple ways to get the job done.
Feel free to take it or leave it.