Thanks. Is that true moreso in England? That seems to be where those links are from. And is it ok for a 60 + year old or just the young ‘uns?
It’s true here, too. Please note the Esquire thread. Regardless, let your husband dress how he likes.
Those are aloha-style shirts meant to be worn untucked. Tucked dress shirts with short sleeves… I have not seen anyone around my neck of the woods wearing one lately. Rolled up sleeves - definitely yes!
@jym626 If you are referring to dress shirts, then no, I’m in the camp that short sleeved dress shirts is an oxymoron, unless you are accessorizing with a pocket protector. 
Just roll up the sleeves.
If you mean short sleeve woven (often printed) shirts that are more designed for casual wear, like what @doschicos linked, then those are fine in my book.
I’m not a fan of men in short sleeve dress shirts. Makes me think of my Grandfather from the 1960s.
@doschicos - DH defers to us for clothing guidance. He always says one of the reasons he joined the military was so he didn’t have to pick out his clothes. He was only half kidding. Too bad there aren’t garanimals for adults. (remember the clothes with tags to match tops/bottoms for kids?)
@skieurope that pocket protector line made me truly LOL. Yes, we are talking dress shirts to wear to work. Not hawaiian shirts (he already has one, with women riding motorcycles. Lovely ???)
@jym626, there are garanimals for adult males. They are called a wife.
LOL @CottonTales
DH just took a photo of 6 short sleeved dress shirts that are getting donated to good will!
Good thing DH didn ‘t ever wear a tie with a short sleeved shirt!!
DS sent a photo of Dilbert!
Also @jym626 , in fashion parlance, button-down refers exclusively to the collar. A shirt that has a full-length front opening with buttons is called a button-front shirt (or less-commonly, and like fingernails on the chalkboard for me, a button-up shirt).
DH lives in short sleeved shirts (tucked in of course) all through the summer. He doesn’t have dress short sleeved shirts, but these are ones he wears with casual pants or jeans, usually plaid or striped shirts (a few solid). I hate them, but at this point I won’t be changing his mind about them.
@skieurope, I would love to meet your parents, just to see who raised such a young rennaisance man.
Ok am not referring to the collar but the front. Next question for the rolled up sleeved shirt - tucked in or not?
Not, as long as the shirt fits well and is tailored to the body.
"Makes me think of my Grandfather from the 1960s.
Considering that the retro/vintage look is in, depending how stylish your grandfather was then, a lot of the younger set probably would remind you of him. 
If you aren’t liking the short sleeve shirts your men are wearing, perhaps they need to upgrade to something more currently fashionable. Google “camp collar shirt”.
There is no one answer to tucking/untucking - depends on the man, the shirt, the occasion.
In a more formal setting - tucked in, casual or “business casual light” - untucked.
Dress shirts should always be tucked in.
Flat-bottom hem non-dress shirts can be worn either way, but more au courant to wear untucked. Shirts with a tail should be worn tucked, unless going for an extreme casual look with denim or chinos.
Additionally, if the hem is too long (below the crotch), it should be tucked in. If the shirt is too billowy, I’d tuck it (really, I’d toss it).
OK, just back from dinner. The couple we were with— the wife owns a ladies clothing store so is very fashion conscious. The husband had a long sleeved shirt on with the sleeves turned up twice. There was one man in a short sleeved front button shirt. He looked to be in his mid 70s.