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I doubt if there's any advantage to changing it to a 1N4148, no, Geoff.
The forward voltage drop is the same, at such a low current. The datasheet for the 1N4148 I've looked at gives the reverse leakage current for a low current, which looks good, but the 1N4001 datasheet only quotes it for the maximum reverse voltage - because it's meant as a rectifier diode, so that's seen as more important.
It looks like the maximum leakage current is broadly similar, and I suspect the leakage at low currents is too - or at least, the difference isn't likely to matter.
There's an advantage to changing to a germanium diode, because the forward voltage drop is roughly halved, so you get longer life from the 3V battery, before it falls to the minimum voltage to power the RAM - but probably not from the diode. A small germanium diode should last a long time, but they are known to wear out eventually. The 1N4001 will probably last forever.
- Andy