yes, it does seem that mutations can potentially increase information in the cell.
I'm coming in late to this conversation, but it is an important one. The issue of genetic information and the capacity of mutations to "write" novel genetic code, should be looked at more closely. There is more to be said.
our nerve/brain network seems to be acquired information.
it could also be that the cell itself is "manufacturing" the needed sequences.
one thing seems certain though, the boundary of body plans (phyla) has not been breached.
this, in itself, is certain proof that mutations aren't "random"
the ability of DNA to repair itself probably swamps out the overwhelming majority of these "random mutations".
the fact that 98% of DNA is "non coding" in combination with the self repair mentioned above probably makes "random mutations" completely irrelevant.