Bach’s suites really by his wife?

This music video is called Bach – Cello Suite No.1 i-Prelude. By Johann Sebastian Bach; or by his second wife, Anna Magdalena Bach, née Wilcken?

From Wikipedia:

Recent speculation suggests that Anna Magdalena Bach may have been the composer of several musical pieces attributed to her husband [Johann Sebastian Bach]. Professor Martin Jarvis of the School of Music at Charles Darwin University, Darwin, Australia, proposes that she wrote the famed six cello suites (BWV 1007–1012), and was involved with the composition of the aria from the Goldberg Variations (BWV 988).

From The Art Server in Belgium:

When he [Jarvis] could study the original 1727 manuscript in 2001 it corroborated his views. Not only are the cello suites really different from other work by Bach; also the cover of the manuscript says “Ecrite [written] par Madame Bachen” and not “copiée”, as usually when she transcribed [her husband’s] manuscripts.