Nope, airlines decide on the width too. The entire internal layout is up to the airline including the lavatory design.
747 has both 9 and 10 seat wide configuration.
747 has both 9 and 10 seat wide configuration.
But I claim that, for example, you can't realistically have a 737 layout that isn't 6 seats wide in coach — and that means the width of your coach seats will be whatever width fits 6 seats plus one gangway.
Air India and KLM operated 737s with 5 seat config in economy (flew in them) up till last decade.