I've worked on a ton of trailers....I can't envision he has a spindle so bad (and didn't notice) that it just lets the grease pour out. The normal bungled up grooves and small defects won't leak new thick grease like that....but they sure do leak water! But, if one does need a new sleeve, those do work. But, if you have ever installed a speedy sleeve or equivalent, they don't come in all EXLoader spindle sizes and you will have to drill a hole for the grease to come out for your EZLube system to work. It's not the end of the world if they don't have the size you want, because NAPA has a large selection of comparable sleeves for machined surfaces you can tailor to fit just fine, with some work and ingenuity.
But....as Bob noted.....and I will reaffirm it.....a few minutes with a steel brush in a cordless drill to get the big stuff off and a strip of emery cloth will probably do wonders for it if it looks bad.