Highly unlikely. SHA ASICS were orders of magnitude better in processing power than GPUs. scrypt is memory intensive and the basic idea was for it to be ASIC resistant. Even in a few months their only advantage would be energy consumption (and in some cases noise, space and heat). In addition BTC was just one coin, you have hundreds of scrypt coins then scrypt jane, variable n etc. All the asics in the world would have to spread their hashing power among many coins. I'll keep buying video cards and if all fails i'll just turn them into a gpu farm and still make money from it. plus they are great in winter 
From what I understand the creator of scrypt says Litecoin (and anything based on it) "used scrypt poorly". So that is not a large roadblock to ASIC scrypt miners. The current ASIC script dualminer/gridseed use chips that are made on a 55 nm process that was state of the art around 2007. I would guess half of the silicon is used for SHA-256 and not scrypt. So we have yet to see the true power of a ASIC scrypt miner.
There are a number of SHA-256 coins too. Looking at coinwarz three are currently are more profitable than Bitcoin. Strangely I don't know of any SHA-256 multi-coin pools (but I haven't looked). Currently there are two scrypt coins listed on coinwarz that are unprofitable based on reasonable energy costs. I expect in six months half of the script coins listed will be unprofitable. It the past month the value of Dogecoin has fallen 50%. This is very poor when compared to Litecoin that fell around 10%. As the total hash rate rises the total number of coins produced does not go up very much (by design). A similar rise in coin prices may not happen.
Also next gen 20 nm video cards will be coming out the 2nd half of this year. The new GeForce GTX 750 Ti from Nvidia card gives some idea on these cards. A GeForce GTX 750 Ti uses 55% of the power for the same hash rate as a comparable AMD card. I expect R9 280X/7970 GPUs used in miners to have a value around $140 a few months after the new cards are released.