The Porsche System when first introduced, as best I can recall was a Cone Set up, not too different to what the Mini first was fitted with and as used in the Austin A30 and A35 and likely some other models as well.
Essentially, the early Mini Gearboxes used, for the most part, Austin A30 Gearsets with 'modified' Input and Outputs shafts, the modification being for the fitting of Input and Output Gears, instead of a Clutch Plate at the front end and a Splined shaft at the back end. The Cone type Synchromesh was satisfactory in these cars for a few reasons;-
The had Gearbox Oil instead of Engine Oil
The Oil was comparatively kept clean (compared to that in a Mini)
The Inertia of the Clutch Plate is considerably less than the Clutch Plate and the Drop Gears in a Mini.
The Austin A30 also used Bushes for 2nd and 3rd Gears to run on the Mainshaft. This was also initially used in Early Mini Production, but these Bushes burnt out fairly quick due to the type of Lubrication.
The move from Cone Type to to a Baulk Ring type Synchomesh was in fact the First Major Design Modification done to the Mini Gearbox and from memory, this was in about 61 or 62. It was costing BMC a small fortune in warranty claims and many were coming back more than once under warranty. The Bushed 2nd and 3rd Gears weren't replaced with Bearings until the 3rd Major Production Change (I think this was late 62 or early 63).
I've really no idea what other types of BMC Gearboxes of the day were being fitted with and if any at the time of initial Mini Production, if any others did. I'd say it's quite likely, given their move over to it so soon after production started.
The Baulk Ring arrangement certainly was carried over to 'end on' type Gearboxes in the smaller range. I know Morris Minors, Sprites and Midgets (and likely others) all had it, though, I don't know if they all swapped over at the same time or if it was a progressive change.
Merits if they had Baulk Ring Syncromesh from the start? Well, a lot less warranty claims for one thing! The other and probably more damaging aspect was that early Minis didn't have the best reputation for longevity nor reliability. No doubt that drove quite a few potential buyers away. Also, remember that upon the Mini first hitting the market, it was a flop that it was seen as too revolutionary and that only made people skeptical that it was all too good to be true - and for it's first few years - it was! Headaches upon headaches. It's amazing and showed the financial capacity of BMC (at that time) to weather that storm.
I'm sure mak01uk and Cooperman can likely add much more here.
You may also find some further reading on the Austin Rover On-line website https://www.aronline...online.co.uk/ while I've found that interesting reading from time to time, I don't know how in depth technically it would get on a subject of History of Mini Gearboxes. While most articles I find quite accurate, there's a few on there that are far from that! I guess like most internet stuff, you need to do further research.