Yes, that was the idea. I find Wisdom too fuzzy if it includes both awareness/perception and the spiritual power of a cleric (I got the impression
@Lanefan did not share this assessment).
Let's break it down a bit - what does Wisdom (in game terms) include:
1. Intuition and instinct
2. Long-term reasoning and deduction (as opposed to immediate problem-solving; that's Int)
3. Willpower and-or spiritual strength
4. Awareness and-or perception (the actual act of noticing things)
5. Processing of perceptions (the mental realization of the meaning of what you perceive)
6. For Clerics, the ability to better channel spells given by a deity
Of those, AFAIC 1, 2, 5 and 6 are hardcore Wisdom, and would be left behind as such regardless - there'd still be a Wisdom stat.
3 should IMO get shifted into Charisma.
4 is a tough one. It doesn't belong under Wisdom, but where else to put it? The answer, at cost of some added complexity, is nowhere - it becomes kind of its own thing. Not a stat along with Str, Int, etc., but a number (or series of numbers?) arrived at by determining each character's inherent vision, hearing, and smell capabilities vs. an arbitrary average. Race* would play a big role here, and class** a lesser; along with a random die roll for each - say a d10 where 1-2 indicates poor, 3-8 indicates average, and 9-0 indicates particularly good at that sense for that race (this could be granularized even further, to allow for inherently blind or deaf PCs). Then situational factors like armour and environment come in.
* - Elves and Hobbits would be good at hearing, Gnomes at smell, etc., for example
** - Rangers and Rogues would be better at all simply via training
I don't think there's enough in Willpower by itself to justify giving it its own separate stat. And there needs to be some ongoing in-play importance to each stat, to avoid it just becoming a dump.