Thanks, but you've got a much nicer rifle. Your's is original and hasn't been chopped up. Mine came that way, and to be honest I didn't even know they came any other way when I got them. That was a long time ago and information was tough to come by then (BI - Before Internet). I haven't tried hollow points. I love the 180 gr Winchester power points and that's what I shoot now, but I killed the majority of my deer with 180 gr Remington round nose core locks. I really don't like round nose bullets but back then I shot what the store had, which was usually core locks. But those round nose bullets dropped deer in their tracks at 300 yards so I can't say anything but good about them. Norma was a great bullet also. All performed flawlessly.
I'm playing with some reloads now and I'm trying 150gr speer's, but to be honest that's just because I'm stupid. Actually I think all hunters are. We find something that works flawlessly and then we start messing with it. We find the perfect bullet weight and then we try something else. We find the perfect caliber and then we try a different caliber. We just can't help ourselves, but that's also how we learn. Go with the 180gr power points and you'll be happy.
I add the rest of this just in case you really want to get into tinkering with with your No.4, but remember what I said about messing with things.
There's a really good book out for improving the accuracy of Enfield's. I think the title was "The complete guide to accurizing Lee Enfields". Do a google search and you'll find it. You'll learn a lot from it. Those guns can really shoot when you get them dialed in, but there's a LOT
to dialing them in. Trust me, get the book. It's expensive for a book but it's worth it. That book will teach you how to dial in one of the most complex bolt action rifles ever made. Almost every other gun is a piece of cake after you learn to dial in an Enfield.
I also recommend a can of JB bore cleaner. Just "follow" the directions on the can and use it very sparingly. That is the best thing I ever did for improving the accuracy of my No.4. I went from 3" inch shot groups to 1" groups at 100 yards just from cleaning the barrel with JB. Just keep in mind that you might not see any difference with yours after cleaning. My barrel is free floating. Your's has wood all the way down and there is a lot going on there with barrel harmonics. Fouling in the barrel (which JB removes) is one of many factors that affects rifle accuracy. Those other factors can negate any improvement you would normally see from removing the fouling, or anything else you might try to improve accuracy such as trying different loads. I learned that on my No1 MkIII*.
Unlike the No.4 the MkIII* has a screw through the end of the foregrip that attaches it to the barrel. I saw no change in my groups on it after cleaning with JB. Then I leaned that the tension on that screw has to be adjusted on each MkIII until you find the sweet spot for that rifle. And that's because of the affect it has on the barrel harmonics. It will flat shoot now, but again there is a lot going on there with harmonics. Your's doesn't have the screw but it does have the barrel band and end cap. All of that is covered in the book.
Finally, get a scope. The iron sights are great on those rifles, but there's a reason almost everyone uses a scope now.