TBH I never clean glossing roller sleeves, I only use the oldest scruffiest sleeve I have, specially when I have to undercoat a ceiling for example, so I just throw the sleeve away, as the amount of white spirit you use to clean them can end up costing more than the actual sleeve.
I use the lambs wool for emulsioning a textured paper, and the medium pile for a flatter finish on a wall.
I keep my roller in a couple of plastic carrier bags, specially the white, when I have finished with the white roller, I place the whole roller in a carrier bag, wrap some masking tape round the handle, then I put that in another plastic carrier bag, also the emulsion brush as well.
This will keep for up to a couple weeks, even longer, I have tested this,
and this will carry you on to the next job, what I might do is to change the actual bag, as sometimes bits comes off from the end of the roller and gets stuck in the sleeve, but the actual roller will last for a long long time.
If your using the same colour all over the house, magnolia for example, then do the same with your mag brush and roller.
I then wash them out at home when I have finished with them.
Another trick is to invest in some brush cleaner, after you have cleaned your glossing brush with white spirit, rinse it through, then put the brush into the brush cleaner, leave that for a few hours, then wash it out with soapy water.
When completely dry, rub in a smidgeon of baby oil, and work the oil through the bristles, this will keep your bristles nice and supple for when you come to gloss again.
If you want to keep your emulsion brushes supple also, after you have washed them out in the usual fairy liquid, then place then in a container with some warm water and diluted fabric conditioner.
My brushes last me for ages, as I treat them like a baby lol
I have never bought purdys, I refuse to pay the price for them, I know they are the dogs whatsits and great for glossing, but one thing I can do very well, is gloss a door by brush, and the usual brushes I use do a good job anyway.