In 1930, there was no difference in result. In 1940, the difference was whether Arkansas would lose a seat or to Michigan would lose a seat or not. In 1941, on a party-line vote, except for the Democrats from Michigan, Huntington-Hill was chosen. Congress has used Huntington-Hill ever since.
Corrected. Compare electoral vote totals in
1940 (1930's House apportionment + 2 EVs for the two Senators) and
1944 (1940's House apportionment + 2 EVs). If Webster's method had been used Michigan would have had 20 EVs in 1944 instead of 19 and Arkansas would have had 8 EVs in 1944 instead of 9.