Malhotra has gone full Wakfield. His commentary article is bizzare, and doesn't tell us anything alarming or new. There are some good threads on twitter from other clinicians, including one of his ex-collegues (Malhotra no longer works for the NHS.)
The JAMA peads article again is reassuring, if you read beyond the scary headlines. After 48 hours post vaccination no women were found to have mRNA in their breastmilk - the authors conclude that breastfeeding after vaccination is safe, and if women wanted to be extra careful they could wait a couple of days before breastfeeding. The amounts detected were in the parts per billions - and this is just nucleic acid which will be degraded in the stomach. There's a reason the vaccine has to be injected. Again, lots of threads online with scientists providing a breakdown of the article.
The media aren't reporting on Malhotra because his claims are baseless, they widely reporting on the JAMA article because it's a decent, though small, study.
For whatever reason, there is a big push from disinformation campaigners right now - remember this is a billion pound industry, and those at the top are profiting significantly.