You don't have to choose. The best option to try all of them and understand how they are all related (and internalized so that your body can feel them).
I dedicate some sessions for controlling constant pace (and observe the HR as outcome), other sessions for controlling constant HR (and observe the pace as outcome), and yet another to control the feel/effort without gadget (and observe HR & pace later on as outcome).
You can also do these variations in different blocks (say 2k or so) within a run. Do them at different levels/intensity of pace, HR or effort. I like the game where the autolap is on, say every 400m, 800m or 1k or whatever, and then you try to target certain level (either HR or pace, usually both according the relationship you currently have) without looking at the watch, except only at the point where autolap beeps and then you repeat again for the next block (adjusting as necessary). You'll be surprised how you can internalize them (you can even guess pretty closely when the autolap is going to beep, i.e. feel of distance not just HR/pace).
Suppose you mastered this, then the question is what's considered "easy", or "threshold" or "fast"? The feedback should come from longer term fatigue, changes in HR/pace tradeoffs and race performances. Be patient, these understanding need several seasons of training and racing, at least (and a lifetime to get a sharp judgement).
Do both or either one, you're not going to miss anything training-wise. Easy pace has a wide range of variation (from just faster than recovery to maximum steady-state below MP). Threshold pace may be more critical. But then your body will tell you if you overshoot, and you don't need to ask.