Either way, mobile phone base station signals can't interfere with wireless computers (at least, at any position where you aren't in danger yourself of over-exposure )
I'm not sure I agree (and this is from a perspective of having worked in a job related to EMC/EMI).
A well designed wireless computer shouldn't be affected by transmissions on mobile phone frequencies (either from base stations or the mobile transmitters themselves), but a well designed wireless computer shouldn't behave as erratically as some seem to anyway. The only thing a well designed wireless computer should do in the presence of excessive interference is fail to register anything, since in effect this will be jamming.
Of course, a computer which is immune to interference issues will cost more, probably more than most people are willing to pay.
I can never be arsed with wireless computers. It took me longer to deal with mounting the computer on the handlebars than dealing with the wire, with the last two computers I've set up. I don't see the advantage of increasing the complexity, cost, and number of batteries.