OMD takes 2 shots to kill a Raid Starship I, with a 10 second reload
Raid Starship I takes 17.58 shots to kill an OMD (ignore hull multipliers), with a 3 second reload
So if you close with a Transport, unload Raids and attack, you get 3 shots from a Raid Starship before it dies. Using an entire cap of Raid Starships gives 50 seconds until wipe. That's 3 shots from the first, 10 shots from the second, and 16 from the third. So in an isolated attack (which you won't have when raiding an OMD), two Raid Starships die and the third is undamaged.
Since Raid Starships currently get x4 damage, they only take 4.4 shots to kill, or death from a cap at 3 seconds with no deaths because the OMD got only one shot off. You'll probably lose the damaged Raid Starship from other things though unless you have a Transport to hide it in.
With a hull type of Turret, the OMD takes a whopping 87.9 shots to kill. In other words, just a fraction over 3 full-cap Raid Starship I attacks. At that point, Raid Starships aren't the answer to OMDs, at least just Mark I. So if that's the goal, Turret hull type does it pretty well. You could still take them out with Raid Starships, you'd just want to unlock at least Mark IIs if not Mark IIIs (depending on what other problems are in the system).
OMDs could get Heavy armor instead, which just removes the Raid Starship's x4 multiplier, so that's the 17.58 hits-to-kill durability. That would pretty much require a Transport insertion and probably a little fleet ship support just to keep other damage off the Raids to get the OMD down in one attack if you don't unlock IIs or IIIs. I'm not sure what other ships would be affected by that change though.
Overall, I think given I can get all the raiding I need with just Mark I Raid Starships, having OMDs require different tactics or higher Raid Starship unlocks may not be a bad idea. Whether that's as extreme as Turret hull type, or just Heavy hull type, I'm not sure.
EDIT: These number discount the OMD taking 1/4 damage from Lasers, which Raid Starships use. This puts them at 17.58 shots to kill OMDs currently, not 4.4 as shown above. With Turret hull type, the shots-to-kill becomes an insane 351.6.