Pardon, but I don't understand the point you tried to make...
Does a software engineer have perfect grasp and understanding about every subfield in SWE? Ranging from DX to writing compilers or designing languages, SWE is an extremely broad field.
The EE domain is substantially smaller than the CS domain. It take less time and effort to be an EE "domain expert" than it does to become a "CS domain expert".
Sure, if you arbitrarily slice the pie to make it that way. The great thing is you can just semantically decide what you want to call EE and CS until your assertion is true, so you've made an assertion that is completely impossible to disprove. Bravo.