Dennis,
It might just be because we are old. Perhaps it is a millennial term, and not possible for us to know.
Bill, I might be late to the party, but "ease springs" is a term from the Canadian Armed Forces relating to infantry weapons. You were in the wrong infantry to have heard that term before; you would know if the US military has something similar. And not to be confused with "make safe"... Been around since my time in the Forces started in the early 80's, so not a millennial thing.
Means to de-#### the weapon with the action closed. For the Lee-Enfield, holding the trigger to the rear while closing the bolt; for the C1, C2, C7, etc, pulling the trigger after confirming the weapon is clear. For the Inglis Hi-Power, either simply pulling the trigger after the weapon is confirmed clear, or controlling the fall of the hammer forward with thumb and finger while pulling the trigger.
I don't recall any mention of the "why" during my Small Arms Instructor course, but I assume that somebody at some time in Gun Plumber Land came to the conclusion that reducing spring tension would minimize wear/reduce potential for spring failure when it really matters.
I have no personal opinion on whether this accomplishes anything as far as improving spring life/reliability; it reminds me of the never ending fight over whether or not to leave magazines loaded or unloaded when not in use. I have watched the gun plumbers using gauges on springs while doing their annual first line maintenance checks on the Inglis High Powers; I assume they have similar gauges and do similar checks on all the other small arms in the inventory. So presumably, the gun plumbers are doing their job of annually ensuring all firing springs in all the weapons are good to go.
I also have no personal opinion as to whether de-cocking civilian rifles, shotguns, and handguns is better for the firing springs over the lifetime of the weapon. I do it with all my firearms as a habit, on the theory that while it might not help, it certainly shouldn't do any harm. I wouldn't lose any sleep over it if for some reason I forgot to do this before storing a firearm for a year or two.