the litle square loop in the center of the lid, shown 2nd picture,
that little "handle", the little square tab thing
is the part the Keyed lock on the locking Mount to the bars uses , as a catch.
so You could just buy and use the Locking version of the bar Bag mount ,
(and save the non locking mount for the townie Bike. )
Mine is older uses ('ulti'3 mount, wire wraps around bar 4 times ) snaps as well,
though main closure is roll & snap closed. [Model RC]
to secure a Map window over the roll closure there are snaps ..[seen on the Posted pictures of my Koga WTR]
You can buy a spare hardware Pack of 8 of their pointed screws and the plastic washers & acorn nuts
https://www.ortlieb.com/en/produkt-d...ug=ersatzteile.
and use those to attach a strap or 2 around the bag to back up the magnetic closure ,
and maybe use the straps to secure other stuff like your gloves under them ..
(or a large panel map folded up in a plastic bag if it's to rain as you ride)
strap could also be a sewn loop with an elastic portion to just pull over the top of the lid..
A little German spare parts, a little DIY..