"Well your "red tape" is my "careful checking", so you crack on"
I think I. This one it is red tape, as it's all to do with whether and when the licence was applied for.
And absolutely nothing to do with issues on either the safety of the vaccine or the standards of manufacture. India manufactures many of the drugs supplied to Europe (both EU and non-EU). It's an admin issue.
And one that could have a rather unfortunate effect for those who have had a jab that does not 'qualify' them for EU travel