I think that if you asked an average Christian if God is a he, the Christian would answer without hesitation 'yes', since God is always talked about with male words.
However, if you asked instead if God has a gender, the average Christian would probably just think that the question is weird, since in his/her mind God is something abstract and transcends gender.
Also, it is good to point out that the Swedish Church is not banning male words
. They encourage the use of the gender-neutral terms and offer a gender neutral alternative to use in the start of the worship: instead of "In the name of the Father and Son, and the Holy Spirit," the priest may say "In the name of God, the Father and Son, and the Holy Spirit" or "In the name of the triune God". Their new handbook still uses male words in many instances.