Always the iconoclast, I'll stake out the position that NLGI grade & base oil viscosity are interdependent and of equal importance. MOV is moot if the grease either can't get where it has to go or won't stay there.
The general rule of thumb is that you can go up or down one ISO grade without too much concern. So, if the equipment is designed for a 220 base oil, you could move up to a 320 or down to a 150, but I'd get the equipment manufacturer in the boat with me if I were going up to a 460.
I don't think moly is going to be your friend here, as nice a girl as she may be. Typically you'll see higher viscosities as the application moves toward high loads, shock loading and lower speeds. Moly helps with all of those stressors. Lower viscosities tend to be preferred with lower loads, less shock loading and higher speeds.
I'm all for consolidation. You may get less than optimum performance from the bearing in terms of overall life & energy consumption, but in some cases you can crater a bearing in one shift when the wrong lubricant is applied. Reducing the number of lubricants in inventory doesn't just save money for the bean-counters, it reduces the chances for mis-application. This is particularly true where a supplier has a winning brand name that they then apply to multiple products, some of which have very different properties. (If the bean-counters don't get us, the marketing guys will!)
BUT, you can't go overboard. I have a vision based on the movie "Repo Man" with two white drums with black block letters - "OIL" & "GREASE". Overconsolidation will likely cause as many problems as too many SKUs, they'll just be different ones. You need to hit the sweet spot. That's a tough assignment for humans, who seem to love the full-scale deflection. If we have a problem of "too much", our solutions frequently look like "not enough".
Right now, you're in the midst of the perfect tension to optimize the situation. You want to use the exact specifed grease for each application, management wants to save money. You need to be flexible where you can but show them where they reach the point of diminishing returns. At a certain point, the cost savings from consolidation will be offset by increased maintenance & energy costs. If you just dig in your heels, you'll get steamrollered; if you work with them, you can get close to the sweet spot.
Good Luck.