The problem with that is the cases are simplified.
As they show, there's little objection to background checks on gun sales. The problem comes from non-sale transfers getting swept up also.
Also, the issue of taking guns when someone is determined to be a threat to self or others--I would have no problem with this assuming we can be confident of no abuse. We can't be, though. And note that this can also result in the person having to pay for background checks to get their own guns back! (The latter part of it I would address by saying that returning a gun should never be subject to a background check.)
Oh Noes!
Why should anyone give a shit that gun owners might suffer the minor inconvenience of having to get frequent background checks? Are we obligated to make everything easy for them as a matter of course?
Why should non-sale transfers NOT be subject to the same restrictions as sales? If they are not, then that creates an easily exploited workaround for any controls placed on sales, and renders those controls impotent.
Having controls on sales, but not on any other form of transfers, would be like having password security on a computer system with a bypass button for people to click saying "I already logged in earlier today" that gets them in without the need to re-type their password. Can you not see how that renders the password protection futile?