Nobody in industry describes "wider" as anything but "more op throughput and execution resources" - there are clearly many ways to scale performance without increasing those, as enumerated above
More op throughput - yes. But there's are different hardware possibilities to go there which aren't simplified to few parameters. CPU's are build around their register files - how much data they can shuffle around per clock is main factor for cpu core "wideness" It's just about optimization how much other stuff is put there to extract everything out from that data movement ability - and less is better.