Old neglected paint may indeed need 105. But, it is a royal PITA if you've not used it before. You can however prime your pad with UC then use 3 drops of 105 with each section pass to get the best of both worlds. Also you can just mix the two with a couple of drops of each.
Heck I mix 105 and 151, call it 256 and use it on something that can stand a bit more cut but benefits from the way 151 finishes.

(Can always throw a finer finishing polish on it, or just straight 151 for that matter. Also have mixed D300 and 105 just for the heck of it, (that'd be 405).
You can probably find 105 in Advance as well. I have 3 within 15 or so minutes and 1 has twice the inventory of the other two on detailing products including several of the 'mirror glaze' line of Meguiar's products.
Yes 101 does work easier than 105 as far as not being stupidly hard to remove, but it isn't foolproof. (Nothing ever is actually.)
I think most everyone loves 205. That is of course as a finishing polish. Remember 105 is a cutting compound with over twice the cut.