there are some significant differences that a different yeast will make. some yeasts are particularly robust and have wider/different tolerances ranges for pH, temp, alcohol content etc etc. A little reading around informed me that sauternes yeast is sometimes stipulated in country wine recipes for one, or more, of those reasons (and some reasons that i haven't mentioned here too!) - is sauternes yeast actually just another name for general purpose wine yeast??? I only bought it for the first time recently after a homebrew shop recommended it - TBH i don't know if they were recommending a brand or a variety but they had more than one variety in each brand for each wine type.
Although i am new to investigating and using different yeasts its not hard to find info that tells you it makes a difference, and the difference is significant. The only things to determine are if the differences are something you desire or not, can you be bothered, are you happy with what you are making presently, have you got the stage of brewing where you might want to start experimenting with yeasts etc etc. If your style is to steer clear of being what you consider to be overly analytical, or steer clear of spending money on and fiddling about with kit, then your ingredients list is probably the one you'll play with. the keeping it simple school of thought i guess.
anyway this needs to be brought into the context of the thread so in a nutshell ...
Brewstew, buying a sachet of yeast that includes nutrient will remove the need to buy a tub of nutrient if you are probably not going to use it again and don't want to be wasteful. (i'm almost embarrassed to spell this out but don't want you to be misdirected from the ONLY reason i mentioned it) I wouldn't recommend a specific variety of yeast for this sake because i like it as a winter warmer toddy that is ready to drink quickly and that is more than a novelty brew. however, as you prefer yours cold you may be taking your sweeter version in an entirely new direction if you pursue it.
and general info for country wines having mention sauternes and so it springs to mind; Sauternes yeast is often recommended for restarting stuck fermentation in country wines. Something i haven't had problems with to date.