Please abide by the title of the thread!

I shall endeavor to make a lengthy story short. I'm in a metal band that plays... Well... Call it up-tempo sludge. I know that seems a bit of an oxymoron, but there you have it. I'm also joining a rock band that plays pretty standard radio-friendly grunge rock. The metal band plays in drop A, and the rock band plays in E standard. Now that I've bored you to tears with my wanton verbosity, allow me to pose my question: Would one of these Squier Vintage Modified Jazz 5ers I've seen so many people rave about be a good choice to play in both of these bands? My thinking is that I can simply drop the low B a step to an A for the metal band, and stick with the EADG strings for the rock band. Furthermore, is the bass in question capable of handling the low A without becoming a floppy, muddy mess? String gauge would be increased, of course... Thanks in advance!