Does solo and pool mining benefit the network equally?

I have an old rig which gives about 6 kH/s. Based on the coinwarz calculator, I'll be about $1.50 a day in red running it. It takes too much power, and my electricity price isn't too good.

But let's say I just wanted to contribute, and don't care about the financial reward. Would running it solo give the same benefit to the overall network as would joining a pool?

Furthermore, would running it now and then still be overall beneficial, or is it all for nothing? (Still disregarding any cost).