Never have I used lower wattages to break in a coil. TBH, I do not even know how breaking in works. Perhaps someone can elaborate.
What is key is full saturation – ensuring that the wick that is in contact with the coil is fully saturated. If it is, then you should be able to operate that coil within it’s recommended range. 10 watts can burn a dry wick just as 50 watts can
Priming a coil is a process of ensuring the wick is fully saturated prior to that first fire. Many methods to prime a coil but if your first few hits are not burnt, then you have primed that coil and the problem is elsewhere.
Coils work on capillary action – as your coil heats, it draws liquid toward them. But there are still limitations to this process for capillary action can only work so fast and can differ from coil to coil. If you are chain vaping, which its frequency is somewhat subjective, then it is possible you are consuming vapor at a faster rate then what the capillary action of your specific coil is able to provide. With mesh coils this can further be a problem given their high surface area, quick ramp up does tend to vaporize juice at a higher rate.
The frequency of problematic chain vaping is difficult to determine. Try taking longer pauses between draws – even a few seconds can be beneficial. You can also lower your wattage. You may not detect a difference between 60 to 65 watts vs 70 watts, but that 5 to 10 watt difference could prolong the life of your coil. Higher wattages vaporise juice at a faster rate. Also, the time you detect that hint of burnt taste, put the device aside and allow time for it to re-saturate itself. The Falcon coils also have a min juice level marked on the coil head – ensure you are above that level.
Juice also plays a large roll. Higher VG means a thicker viscosity which means a slower saturation to the coil. Not familiar with the juices you are using, but if they are 70 to 75% VG you should be OK. Sugars within the juice also burn and carbonize to the coil. This can lead to burnt tastes and also create hot spots which leads to burning the wick.