I didn't get the vacuum pump hate either. Such a pump is really great!
What I have noticed is that some bottle necks are slightly too large or of a weird form for the corks, letting the vacuum escape. When everything is OK the cork makes a pleasantly sharp "ssssshhhhup" sound when releasing the vacuum. For some bottles there's just a faint sloppy "shh" or perhaps even nothing, and for sure the taste isn't optimal then.
After pumping I always put the bottle to the fridge. If storing a pumped wine at room temperature I suppose the wine would quickly end up tasting like donkey.
Then later, when it's time, I open the cork and let the wine warm up (!) to the required temperature.
A pumped wine won't hold for months of course, but I've kept more robust red wines up to a few weeks max, and they are OK for my tastebuds.
So, after any decanting and airing I usually test the bottle with the pump + cork, to see that it gets sealed properly, if I plan to pump it.
Probably all Frenchmen and Italians are rolling their eyes and writhing in agony now but hey, it works for me...