Where i play, every hole has a forward 'drop zone' coz the 'rough' is the jungle. Off the fairway the chance of finding your ball about 3%. So to save time the management has obligated everyone to play the drop zone. We use the drop zone and add one stroke. Breaking 100 here is no easy task and the vast majority of golfers do not.
There is absolutely no rule in any USGA rule book that allows you to take this action according to the rules.
And no, it's not the exact same thing. If your ball is lost, you must take a 1 stroke penalty and re-hit from the point your last shot was taken.
There is absolutely NO rule that tells you to take a 2 stroke penalty and drop a ball close to where you think your LOST ball is. That's a ruling you made up.
Not having the luxury of having to return to the tee is the exact reason the "Provisional Ball" rule even exists. It takes an extra 15 seconds to hit a provisional.
I'm not criticizing your choice to play by any modified rules you may want to choose to play with. But you're posting in a forum about other players not knowing the correct rules (taking a 2 stroke penalty on a LOST ball) when you indeed seem to be lacking the correct knowledge of the rules. There is no such thing as a 2 stroke penalty on a ball LOST from the tee. It's 1 stroke and distance.
there should be a muni 2-stroke rule for losing a tee shot, because all the public courses i play on would severely frown on someone driving back to a tee box to take another shot. the reality is that provided you hit a good second drive (after you lost your first one), you would be hitting 4 in the middle of the fairway; likewise if you drop in the area where your first one went out, you are hitting 4 from probably a similar distance after your 2 stroke penalty. it's pretty much the only rule i can assess on a public course, unless of course i'm certain there is a lost ball and tee up again before leaving the tee box. unless you only drive the ball 6 feet, i don't see how this process of driving back to the tee could take only 15 seconds.