For years thorn cycles refused to support the use of bike stands, indeed iirc use of one invalidates the warranty. It's interesting to see they have created the means to attach one.
If you attach a centre stand to a very lightweight bike via a bolt clamp, on the seat stays then you're possibly being stupid. However most bikes I've seen with bike stands are not really lightweight but touring bikes, hybrid, Dutch, trekker or shopper bikes. One would hooen they're strong enough to cope.
I don't have stands. My partner had one on her hardtail mountain bike until I think a bike shop took it off as the mechanic claimed it would damage her seatstays behind the bottom bracket. She missed it but never replaced the stand, think it was broken and any replacement we got didn't work out.
Our son's last frog bike had one, current doesn't. We found his was only good on flat, solid ground not good on campsites when on tours.
I own a touring recumbent and wish I'd sourced one before my tour with it. Centre lowrider rack has a place to attach one but the manufacturer wasn't clear on which one was compatible other than Pletscher ESGE but there's a lot of varieties of that make and model.
We've always coped without even fully loaded touring. The only reason I'd get one for my recumbent is because it's not a good shape for leaning against certain things like trees, posts, etc. The USS and design I found wasn't great for leaning when fully loaded so I tended to lean against the lowrider panniers which isn't great for their durability even though they're ortliebs.
Pletscher ESGE are good ones and available in many styles, fixing methods and weight limit. Weight of your bike and luggage is important and cheap ones might not cope if you're touring. The brand I recommended are generally able to cope with higher loads than cheapo ones.
If touring then consider that US company that makes bar style stands, clickstand iirc. They're like a trekking pole with a hook on to hook under your frame. When not in use just stash in your bike somewhere. I've heard a lot of tourers rate them as they can't really damage the frame.