I have the non-UV filtered Eye-One spectrophotometer. IMO the UV filtered version isn't necessary, as better-quality papers don't have UV brighteners anyway. The illuminant in the EyeOne is an incandescent lamp with a fairly low color temp, and doesn't contain a huge amount of UV.
The color cast could go either way: If ambient light contains more UV than the Eye-One illuminant, the increased fluorescence will give the print a blue cast in that particular lighting. If ambient lighting contains less UV than the Eye-One illuminant, then the reduced fluorescence will give the print a yellow cast in that particular lighting. The rendering intent doesn't matter, papers with UV brighteners are going to be problematic because their apperance will differ significantly depending on the amount of ambient UV.
Rodney and Fraser are both correct; Rodney is referring to the appearance of the print during the measuring process, and Fraser is referring to the appearance of a print made with the resulting profile. It's no different than measuring the color patches on a bright blue desk surface, the blue will bleed through the paper and skew the patch measurements, and a profile built from such measurements will result in prints that have a pronounced yellow cast.