It's impossible to tell, really. Just because LTC followed BTC up the last time it spiked, there's no guarantee it will happen again next time. Because there are a significantly larger number alts on the market now since the last spike, the total amount of money invested in crypto is spread more thinly over all those different coins. It all depends what direction the market decides to move in, who's pumping what and which coins have a general hype or buzz around them at the time. Most alts may well climb if BTC starts skyrocketing again, but others might climb faster than LTC at this point since it seems to have lost most of its buzz. Scrypt ASICs have definitely taken away the impetus from LTC because being ASIC resistant was one of the main selling points.