Yes, this is my impression as well, based on recently having booked a day 2 test.
Also, one may want to check the reliability of the providers via rating sites (one cheap one I looked at had a terrible rating).
However, one should also note that the rules are about to change:
From 24 October fully vaccinated passengers and most under 18s arriving in England from countries not on the red list can take a cheaper lateral flow test, on or before day 2 of their arrival into the UK. These can be booked from 22 October.
Yes, this is my impression as well, based on recently having booked a day 2 test.
Also, one may want to check the reliability of the providers via rating sites (one cheap one I looked at had a terrible rating).
However, one should also note that the rules are about to change: