Most mods do the same thing, even with their slight variations in power accuracy or features. Using in wattage mode is pretty basic so features don't come into effect there. What coils you're using has everything to do with it along with the power settings. The drags are solid mods so doubtful that's the issue. The coils don't really sound overly massive, 4x28g/36ga ni80 fused claptons (I think these are the ones included). You could try on the lower wattages purging a little by blowing back through it until you see a bit of vapor then inhaling. Or turning wattage up a little at a time.
One other thing that may really help you out in this case, the drag mod has a custom wattage curve feature. I don't own the drag so can't tell you how to get into the settings for it, the user manual should help. What custom wattage curves (CCW) allow you to do is set your wattage over the duration of the vape. You could start out at like 80-85 watts for the first second or so to get the coil heating, then drop the wattage back to 70w, 65w, 62w, 60w, 58w etc. The intervals are every 0.5 seconds so keep that in mind for how you vape. It may take a little fiddling to get it just right but it will allow you to taper the wattage back once the coils are heating.
Staying at the same wattage throughout is like holding your foot in a fixed position on the gas pedal of a car. It will continue gaining speed. Similar to driving, once you're up to speed you want to let off the gas and just give it enough to maintain speed. Custom wattage curves do the same thing, so as you hold the fire button down the mod is backing off the power for you. It can help give a nice steady warmth of vape in wattage mode.