I would like to be even more daring :
- not building them in the 30's (or only to a less extent)
but
- building/developing them in the 20's already
I think
@DerWonderWaffles question is also about the ability of the germans to build landingcrafts at that point of time - after the defeat of France - at all. This ability was ... rather low, as historical there were only some "
Pferdeboot" from pre- and war-time of WW 1 as well as the
PioneerLandingBoat 39, according to "The Gröner" first developed in 1938. Both serving and/or intended 'only' for the purpose of getting heavies material for Marine-Corps pioneers ashore.
However, there was a time when the then Reichsmarine embarked on an "emergency-program" for fast and cheap to be built marine, mainly shore-base assets but also some more high-sea capable ships. They didn't actually wanted them to have been built aside some 'type'-models or testing samples, but to have their plans ready in time of need.
This "emergency" R&D-program began some fes days into February 1923 ... Ruhr-occupation ... when the Reichsmarine had to acknowledge, that they had virtually nothing to defend whatever german coast. ... and that this situation would stay that way for some dearly long time, at least too long a time.
The probably more known 'fruits' out of this program were the
S-Boote or 'E-Boats', in the 20's running under names like USZ or similar, several types of "
Vorpostenboote", naval trawlers and "
Kriegsfischkutter", which's plans all originated in the early 20's.
One of the mayor problems the young Reichswehr had was defending East-Prussia, cut of communication and transportation line by the polish corridor -> how in heavens name then to get troops there ? ... especially if Danzig might very likely also be cut of by polish forces ?
Kind of similar problem was ventilated by the Reichswehr reagrding some enemys attacks together with landings in Pommerania (
guess who ? ... naah, I mean Revolutionary Russia - and Poland), How to get troops into tzheir back ?
The OTL 'solution' was to bring the rotten old Pre-Dreads in service as escorts for troop transports. ... though essentially only part of the prob. The troops have somehow to reach the beach. IOTL the transporters dinghys and the like were/had to be rendered sufficient.
Now , let's assume - as a pod - that there is some more 'pressure' towards the Reichsmarine esp. to develop such capacity of landing troops in East-Prussia and/or Pommerania in case of a at that time rather probable war-cases ?
And landing-craft, of higher capacity, better sea-worthyness are included into the mentioned emergency-R&D-program of 1923 ?
What you need for a mass-production of such crfats you need - beside some yards (in that case even the smallest would be capable) - the contruction drawings at hand and some type-boats as models.
That way you might have in the late 30's some 'car'- or 'horse'-ferries operating in german coastal waters, across the Stettin, Vistula or Curonian Lagoon in form of the
Marinefährprahm or for further like towards Scandinavia or Gotland something similar to the
japanese No.101 or
SS-class landing ships. Over the years further developed in some small steps, optimized for the intended mass-production.
And in 1939 when planning of whatever campaigns become pressing ... there might be some ideas for these to be used, not only in a Norway-operation but maybe also against - as 'proposesd' - an operation for the Netherlands etc.
The ability would then be there, probably building would start only summer/late 1939, so not much available in time for Weserübung, but ... with production comming 'online' ... there might be a consideral number be availabe in late 1940 and even more in 1941.
But ... ofc the James Bonds of this time would smell the fish already in 1929 and take according steps against some 10 years later ...
No way a landing on british soil might ever be possible.