Not necesarily. If you choose wisely.
The holes I'd poke in that argument are as follows:
1. I think at the dilution they are being used, factors such as municipal water quality are FAR FAR more significant. Think about it. If you wash in a water supply with a pH of 8 (not exactly uncommon), the number of anions aquired from the washing would outstrip the possible number of anions acquired by the wetting agent by a factor a gazillion to one (that number's from empirical research!).
2. Even IF there were a significant increase in pH from the wetting agent - would that not help buffer the paper from acidic attack?
3. The only difference, as far as I know, between a non-ionic and cationic (alkaline) wetting agent, are that the NON-ionic sort have ethylene oxide groups added to the base molecule. This is a petroleum-derived agent. So - if anything, the non-ionic sort add more 'junk' to the emulsion that a good quality dishwashing detergent would.