No, he is definitely named Thomas Wale, in several primary sources. Including this inquisition post mortem (ipm) from 1343, regarding the manor named Wedon Pinkeneye in Northampton, where Lucy the widow of Thomas Wale, mentions her son also Thomas Wale.
I have seen no reliable sources at all, that state he was originally named Thomas Putnam, and although it is possible, no sources so far that connect the Wale family of Eydon, and this Wale family of Wedon Pinkeneye.
Working with Pre-1500 profiles is difficult, but the only way forward on these profiles is to rely on primary sources, or at least secondary sources that cite primary ones.