@Mr E: You all make it sound far more dramatic than it really is.
This local has travelled all over Europe by train for over 40 years. And yes, I to have sometimes non refundable hotel reservations. And I have had my share of cancelled trains, delays, missed connections and strikes. But I never have had it happen to me that I did not arrive on the day I planned to arrive. I just advise everyone to leave early, so you have room for adjustments if needed.
And if you were to get stranded somewhere then the railways will have to put you up in a hotel. Has never happened to me, but I know people who it has happened too. That was however in France, where train service is horribly broken. In Germany that is not likely to happen.
Take a car the 15km to Interlaken and then get on the direct train
(ask the hotel).
That is not very good advise, as that replaces a train - train transfer with a car - train transfer, which is more likely to go wrong. Really. This is Switzerland. My travel insurance does not even permit me to use car transfers while in Switzerland is that is considered risk seeking behaviour, and insurances do not like that.
Buy two seperate tickets, one to Interlaken (R62-134) which arrives at least 30 minutes prior to the direct train departure (EC6).
That is actually nonsense. you cannot buy a ticket for R62-134. You can buy a ticket Lauterbrunnen - Interlaken, valid for all trains for a whole day.
If you select the 11:31 departure you will indeed be offered the EC6 between Interlaken and Freiburg. And if you select a discounted ticket you will get a ticket that requires you to take the EC6, but you can still take an earlier train from Lauterbrunnen if you like wasting time at stations. You do not need to split the ticket for that.
Anyway, I change trains in Interlaken a lot. I do this both with and without luggage. Recently I came back from a sailing trip with over 30kg of luggage. I just calmly walk from the train I arrived on the my next train, rolling my big heavy cargo hauler down the ramp and then up again. And I still had 2 minutes left. When the transfer is 6 minutes you are permitted to use every second of that. And the conductors keep an eye on things, and will hold the train for up to three minutes to make sure that everyone made the transfer.