Hi Edna
Ady is right. They are different men. The one serving in the Liverpool Regiment during the Boer War gave his DoB as 1871. The ASC man from WW1 was born c1878. Also, the WW1 form gives the answer 'no' to any previous military service.
The Boer War veteran had older siblings Edward and Lily, and both his parents were dead by 1889. He is a widower living in Bootle in 1911. And his daughters do not match the children of the WW1 man.
Ken