I'd say what's intuitive is very subjective. Most of a language tends to be intuitive to its native speakers, no matter how unintuitive it seems to someone else.

To me the intuitive genderless option for "he/she" would be "it". Coming from Finnish, it seems much more natural to have "it" include people instead of using "they" for both singular and plural. Or if using "they", it would feel intuitive to say "they is" instead of "they are".