This is the kind of drawback that is perfectly reasonable to throw into the mix when dealing with overpowered and non-standard systems. "Yeah, you can do that, but it's gonna cost you..."
It might if you are trying to mount a dozen turbo-lasers on a YT-1300 that you'd have a problem. Like losing all shields for a round after you fire the Turbo-lasers.
Reminds me of the new long range turbolasers in LOTF. They take so much energy that an Impstar II with 4 batteries of them can't fire them and keep its shields up at the same time.
We see this with the oversized weapon mount from Dangerous Covenants. The effect being to lower the vessel's system strain threshold.
I honestly wish that most of the other attachments that push already existing systems also adversely hit the SST. We see it in the high-output ion turbine, but I wish it was there in the hyperdrive generator, the reinforced shield generator, and the advanced targeting computer. All of these should make the ship's systems a bit less resilient IMO.
Yeah we had something similar to the long range, higher punch turbos in one of the NJO/Legacy era settings I was part of online. Those you could only fire safely every other round and if you tried to fire them back to back and rolled too low on the d20 for the attack they would fire but the battery would explode as well.