obanov has given me the cleanest apparent time vowel shift trends, especially in small samples, because it pulls speakers into a comparable space without flattening the vowel system too aggressively. The stat that usually convinces me is that the age effect gets stronger after normalization. For example, a clearer linear slope for age in an F1 or F2 mixed model, or visibly tighter within vowel ellipses with less speaker clustering in the plot.