The main reason that I never bought a lever action 410 is that they all have 2 1/2" chambers no matter if it's a Henry, Marlin, or Winchester. I prefer using 3" shells for hunting.
A .38 Special pistol would be considered horrendously underpowered for deer, and a .410 slug is significantly weaker.
I've got an old mossberg 183, it's a bolt action goofy thing. They can be had very cheap (paid $50) for mine but it's a keeper . it has interchangeable chokes and keeps a pretty tight pattern with a full choke. Not exactly what you asked about but if you're curious about these, just buy a 183 and try it out. If you hate it, sell it for what you paid or give it to a young shooter.
410 is good for small stuff, the slugs have pitiful performance.
I have a JM Marlin Model 410 (only produced for a short period, based on 336, cylinder bore, high vis sights) which I use for pig hunting in scrub (small/medium pigs), with great success. IF it will take a pig, in scrub, then I would think it will take a small framed deer, at close range! Surprisingly accurate with Winchester solids (or my own cast ones).
Have to fight the kids for it!
So also bought a satin double barrel, double trigger, Boito .410 coach, and added turkey sights (reamed right barrel .405, left barrel .4) so use 3 inch solid in right, and Federal OOO buck (the copper coated self defense round) in left. Both rounds hit hard at short range.
Those Federal rounds designed for the pistols really move out of a coach gun, the Federal number 4 buck load is also useful, for some applications.
I have a few others including Savage 24, .22lr over .410, plus a couple of "Cooey" .410's. Once set up (the Cooeys both needed a higher front sight to point where they shoot), polished or reamed and polished (I find .385 etc extra full chokes useless, have bought both Cooeys, and Savage, out to just over .395").
The only advantage with the .410 over .44 or .357 is the .410 holds heavier and more shot and you could run the Federal 4 pellet 000 Buck .410 ammo in the 2.5" shells. The Hornady Critical Defense also seems to do quite well out to 25 or 50 yards even thru a smoothbore.My biggest issue with the Henry is you're limited to 2.5" shells only and the short version has a fixed cylinder choke. With the adjustable sights they seem to be designed for slug use but they are smooth bore (obviously). Kind of don't really get what you gain over a 357 or 44 lever gun if you're only going to use slugs.
I was really tempted by the Henry for awhile but I think they would really shine in 20 gauge. I just don't see myself ever hunting with that gun over a PCC lever action or a double barrel shotgun.
Fairly sure OOO buck is .36 (same as the old black powder pistols).Im in Australia as well. 410 is a go-to farm gun , also has some ulitility on pigs too. A 410 slug has much more killing power than 38 special in close. it starts out at 600ftlbs+, more than some 357 revolver loads. Obviously that drops off pretty fast and its not as accurate, but up close it will do the job on light game no problems. I personally prefer 3" shells, the 5 x 000 buck factory is no slouch at close range either. From memory they are 38 calibre each.