It is a complete no-no, even if your DC doesn't say anything to you about it.
Just think of the potential loss of equipment if the sprinklers were to activate in a datacenter suite -- and if the flammable material is located in your cage, it's going to be you or your insurance covering that.
I have only seen dry-pipe water systems lately, since halon is long gone.
I did see one system that used HI-FOG sprinklers. Smaller water droplets are supposedly able to extinguish a fire with significantly less water. You're still sad, but maybe you can salvage more equipment.
I've seen a few chem agent and inert gas systems, but only when someone realized cost of equipment + loss from downtime > cost fire suppression system, which is less often than it should be.
dry pipe systems are probably the most common though.
Just think of the potential loss of equipment if the sprinklers were to activate in a datacenter suite -- and if the flammable material is located in your cage, it's going to be you or your insurance covering that.