See the attached image from the Garmin G3X installation manual (Rev AW), page 2-17. The high current draws shown are for initial turn-on only, and are directly related to probe temperature. The current demand reduces as the probe heats up, whether they're actively regulated or passive.
The Dynon heated probe manual doesn't specify current draw, except to mention 100W at the end of the manual, but does call for fusing the circuit at 10A, both of which suggest that maximum current demand is significantly less than that.