Everyone's situation is different, so it's hard to tell you what I'd do without knowing all the details.
However, I would personally never leave a pump shotgun chambered since there is no drop safety. Look up the "cruiser ready" configuration which may be an acceptable compromise for you.
Condition 1 or it don't count
You should have included the K-9 warning device in your photo, I like to look at other people's models.
So every time your dog barks you're going to jump up, quickly grab the key and unlock your shotgun?
Statistics say you won't have anywhere near enough time to ready that gun once you decide you need it.
Everyone's situation is different, so it's hard to tell you what I'd do without knowing all the details.
However, I would personally never leave a pump shotgun chambered since there is no drop safety. Look up the "cruiser ready" configuration which may be an acceptable compromise for you.