IMO, having the other characters' combos down on muscle memory won't help for knowing when they are burstable, techable, and the like. You only need to see and recognize these points while you're being hit by them, which is learned by playing other players or watching videos of other players playing. I learned Lambda combos when I played BB, but I didn't realize you shouldn't burst when she's comboing with D swords until I had to punish the one guy who tried to burst out of it.
Learning others' combos might help you increase your execution (though I would say keep trying on the Tager combos rather than learning others' first). Stick can improve execution, but is a bit of investment in money and time.