Picking normal locks leave easily discovered evidence. I once even detected a lock at my office had been picked when I put my key in the next morning and noticed it felt different!
(I learned it had, in fact, been picked-- because after that happened I asked on the company chat and one of our security people responded that he'd picked it the night before for reasons)
Usually while picking you'll also scratch up the pins and keyway in a way that a key won't. You can also end up with the pins a bit cockeyed.
You can also turn it in directions that it can't turn with the key in it, and on some cylinders you can turn it the wrong way and have all the pins fall out!
You in many locks you can also end up with it 'locked open' where you have to pick it again to be able to get a key into it.
I think in the incident I mentioned the cylinder was left in slightly askew which made it feel odd to insert the key. I'm not sure if someone who hadn't picked a lock before would have recognized something was unusual just from the feel.
Of course you can take a lock apart and examine the pins & chambers for signs of picking, but that is a bit extreme if you don't suspect it.
So while it is possible to leave external signs of picking, it's not necessary, and often indicates something went wrong with picking.
Maybe extremely careful picking would pass, but at least my efforts always mark up the pins. :)
Compromises in electronic locks tend to be a lot cleaner.
What's difficult to know, is if there were large market of IOT locks, and much more scrutiny on the companies manufacturing IOT security products, whether that would lead to a reduction in unsophisticated attacks against the products.
As of today, it seems many digital locks are just as bad or worse at physical security than traditional locks, and the IOT connectivity opens up new avenues of attack.
Or, heck, just unlock all the doors and see what chaos happens. Try that with physical locks.