While I suspect the Intel equivalent would do similar things, simply from being a big enough break it's an obvious thing to do, there's no guarantee it wouldn't be worse than AMD64. But I guess it could also be "better" from a retrospective perspective.
And also remember at the time the Pentium 4 was very much struggling to get the advertised performance. One could argue that one of the major reasons that the AMD64 ISA took off is that the devices that first supported it were (generally) superior even in 32-bit mode.
EDIT: And I'm surprised it got as far as silicon. AMD64 was "announced" and the spec released before the pentium 4 was even released, over 3 years before the first AMD implementations could be purchased. I guess Intel thought they didn't "need" to be public about it? And the AMD64 extensions cost a rather non-trivial amount of silicon and engineering effort to implement - did the plan for Itanium change late enough in the P4 design that it couldn't be removed? Or perhaps this all implies it was a much less far-reaching (And so less costly) design?