No
Given that just about anything gets deemed a terror group if the govt / security folks don't like it, then scope creep will be massive.
FFS I remember decades ago getting targeted photographed by the cops (before contentious video days) when protesting about racism / apartheid in SA (back when Mandela was still in prison & regarded as a terrorist by many UK MPs) at an event where SA ambassador was present. Being anti-apartheid back then meant you were regarded as very suspect indeed (waves hello to old Special Branch folk who used to hassle me).
If these changes go through you'll see Extinction Rebellion (or whatever harmless (but inconvenient for some) protest group is causing a bit of traffic chaos in London) magically fall into terrorist investigation category.
Biting the hand that feeds IT
