Huh?? Why would you queue with Indians at LHR unless they were EU citizens in which case it will take just as long as anyone else.
At LHR you can ignore anybody dressed in purple and go to any counter you please.
As far as I can see, T3 has two options: go to the line for EU nationals, which will have you end up in front of a machine; or go to the line for non-EU-non-this-non-that, ie the general line and end up in the slow line (where eg Indian passport holders are). There doesn't seem to be a dedicated EU+human option.