I have a pair of the bronze padlocks (keyed) for the outside lockers. The Bavaria uses the same push-button latch with the small hole near the tip. But, as mentioned above, a thief wishing to get into the lockers would not be deterred long. Even a small bolt cutter would defeat them easily. Locking would guard against a child climbing in there and getting locked in, however.
Significant theft from boats has been very rare on the docks were I’ve moored. Most known are thefts of outboards mounted on stern rails. Basically, items that can sold for enough money to justify the risk of getting caught and arrested. I question what a thief would want with what is usually in the locker— ground tackle, used cordage, life jackets, etc. I think the ever-present live-a-boards are the best deterrent. I suspect a thief would have to break into quite a few lazarettes to find items worth the effort. If something “valuable” of mine went missing from off the boat, I’d have to suspect it was due to somebody who knew its presence & location, etc.; rather than a “random” hit. Could still be wrong, however.