The choice of whether to go with liberal or conservative algorithms on both computers is not the inconvenience, but rather is up to the preference of the divers, but I think it is best for both to be the same if they are a constant buddy team.
The inconvenience comes when one diver has a more liberal algorithm, which gives a statistically safe longer NDL, but is required to follow a shorter NDL due to the risk of lock-out on the more conservative computer.
The OP's question asked for information, and it seemed he was not familiar with this issue of different algorithms. Plainly, once you get more knowledge you can adapt based on what you know.
it is also certainly true that "real world" actions, such as diving different profiles during a dive, or one buddy skipping a dive, will create a large divergence in NDLs.
It is true that, over one or two dives, there might not be much divergence between some different algorithms if the buddies stick close together. But, this is not true in all cases, and also, it can change in unpredictable ways with more intense repetitive diving.
Anything is possible, including buddies learning to dive with computers running different algorithms. None of this is unsafe or "wrong", I was just explaining what is optimal in terms of convenience to someone who is starting out.