The best replacement for data profiling is data quality.

The best alternatives to data profiling are rated as following:
★★★★★  data quality
★★  data cleansing

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Speaking about data profiling, one probably shouldn't forget about ab initio.

Other search terms related to data profiling and their ratings are:
★★★★★ ab initio
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Google Trends

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data profiling
data quality
data cleansing