As I understand it, no decision has yet been made, and tenders for production have been placed on hold.
The OP is therefore misleading, not only on that but also to imply the eventual specific choice is a direct result of other pressure groups lobbying, and that as a so-called 'minority',that must somehow be wrong. Most pressure groups are a minority,
does their validity or otherwise depend on whether one personally agrees with their aims or not?
The person who started the petition over the use of animal fats in note production, also voiced his concern over the use of palm oil too
I have no idea what the transgender reference is supposed to indicate, or the 'yet another' ref either.

The £5 and soon to be new £10 both use tallow and will continue in circulation.
The choice on additives to the new £20 note due out in 2020, is yet to be made
There are several possible choices that could be made, palm oil being one, and currently the cheapest of the options.
In terms of scale, the estimates given for total planned note production, require the estimated palm oil output for one year of 6 hectares of cultivation
Indonesia and Malaysia had about 12 million hectares under cultivation as at 2013
The use of animal products shows a similar low amount in terms of animal usage.

I don't see it as an either-or situation

Without wishing to detract from the merits of either viewpoint, that video is essentially untrue.I'm sure some at least will tend to take it literally and may feel disappointed if they learn it's essentially a fake.