Try to get strict finger alternation if you play with 2 or move to 3, finger independence is key to utilising 2 or 3 fingers to maximum effect imo.
I understand the point you make, but now the emphasis has been changed. It is now not about playing music or the bass but making the fingers conform to a pattern regardless of what is the best way to play a piece or song.
A player should ideally develop on to more and more complex parts that require better dexterity and the use of more fingers and so a need to use more fingers or better the technique they are using.
I use two fingers as a rule, but not strictly alternation, that is not the reason for my bass playing...to show a strict alternating technique. I use it because it allows me to play with freedom. I use three, four , even all fingers and thumb if the need is there. I do not introduce such restrictions to my own playing, but i do understand those that want or desire such elements in their playing and how to best develop them.
I have said many times of my own technique that i come from brass instruments. As a child so i developed a right hand three finger technique as it would become when i started playing bass in late life, through playing valves on those instruments.
The act of years and years or playing developed my three fingers. Never once was any time spent making my fingers work, the music done that. At no time was it ever ever considered desirable to may the fingers strictly alternating....after all if the music is not strictly alternating then what is the point? Playing bass with tempo variations, rests, accidentals, etc, a player need to start on any given finger. Given the point it is only the player who puts the importance on his fingers, no one watching or listening can tell if that is what he is doing.
Look at this
123212321232123212321232123212
It starts 123 the numbers follow each other, but if i show you
32123212321 the sequence has not changed, it is still 123 but starting different. Or 321232 it still has not changed it is still 123.
So can anyone say that the finger you start on in a strictly alternating pattern has any importance but to the person using it, and only then it is their brain telling them, reinforcing that importance.
I know the debates about consistent tone come to the fore as well, but is a consistent tone the goal, or even again desirable. It is for me the slight difference in notes, the imperfections of consistent tone that separate a player from a computer or sequencer. These imperfections are what makes a piece "breathe" make it possible for some to distinguish a certain player because his attack has a certain voice to it, and emotional quality because of it.
In the end if the music you play requires you to be more dexterous and use more fingers then that is the way to develop, developing it for the sake of technique is a false goal.