The vehicle does not have ABS.
It is the typical X configuration.
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Most people don't do the whole system, but as someone else said the brakes will most likely be spongy and get more so as time goes on.
The other thing you have to remember is that even a tiny amount of air will start to breakdown your fluid
And most people never change their brake fluid.
So it's the start of the system getting slowly worse
It's your call, but in the long term it will bite you
Whenever you break the brake system open, you need to bleed the entire system. This ensures no air is in the system, nor any contamination. Besides, brakes don't usually get bled enough anyway. Brake fluid should be completely changed every 2 years at a maximum (even I am a failure at keeping up to standard on this). It realistically doesn't take a lot of time/effort to change out the brake fluid, so the optimal solution is to change it all out while you're at it. We are talking about a vital safety system, so why skimp.