|We were able to use the L Sandys (and OS, for that matter) throughout PTing with both of my boys. They could be easily pulled up and down for my second son (around 28 lbs at the time), but not as easily for my first (around 32 lbs, pudgy), so it can really vary by child. I have read of people using the L Sandys as pull-ups, but neither of my boys was interested in doing it independently, so I can't comment on how easily that works for toddlers doing it themselves. I will note, however, that they do require a separate cover, so pulling both up and down might be a little tricky for a little one.
That said, although I looked into getting ToddleEase and training pants, with the idea of using them during PTing, I never did, and am actually glad that I didn't spend the money. If your daughter is very independent, then it might be worth it making sure it's something she can pull up and down, but because mine have been so slow to master the up and down (seriously, 3.5-year-old still gets confused by his underwear more often than not, though since my 5.5-year-old can now do this I'm confident he'll get it, too . . . someday . . .), it just wasn't an issue. With both of them, once they were fairly dependable, I just used the OS (or L Sandys) as underwear (phasing out cover with increasing reliability). Much easier to change accidents than underwear or most training pants, too. Neither boy cared about being in diapers even though they were using the potty, though, so that might also make a big difference.
32 lbs is getting toward the upper end for the L Sandys, but I'm guessing that's what you would want. It still fit my 34-lb chunk with room to spare when he went night dry, and my 3.5-year-old is now still wearing it at night (he's only 32 lbs now, but waaaaay more room in it). ME will do a trial pack with the L Sandys if you call them; that way you could assess how it might work before investing a lot. They will also give you all the hip, waist, rise measurements for any diaper, so you can see how they compare.