The argument for compact pedals versus multi effects changes drastically depending on what you need and how much you want to spend.
For example, if you only need overdrive, reverb and delay you are almost guaranteed to be better off picking up a couple of specific pedals to match your sound perfectly over a multi effects unit.
If you don’t know your sound yet, or you just want to have every option so whenever inspiration strikes you can dive in and get the sound you want, then maybe a multi effects unit makes sense.
There is an interesting point though where you might want 7-10 pedals on your pedalboard at roughly £100 each. Good quality mid-range pedals that will give you a great sound. But for the same money you could get a powerful top of the range digital multi effects system with pretty much unlimited sounds.
At that point both sides need to be considered but it all comes down to the tone in your head. What gets you closer to that sound?