Registered Traveller - No stamps in passport

Hello. This forum has been really helpful for me over the years. I have just hit 5 years on my Tier 2 and starting to fill out the online form and getting all my paperwork together, but I have a query about something.

I joined the Registered Traveller Scheme back in 2015 (https://www.gov.uk/registered-traveller), which allows certain UK visa holders from certain countries (at first there were only 5 allowed but I believe its much more now) to use the UK/EU passport and E-Gates when entering back in the UK from travelling abroad. But because of this, there are actually no stamps in my passport showing me re-entering the UK from that time (and because I am a US citizen, we don't get stamped when we go there). So I am concerned about what to do and how this might impact my application. I was going to scan the membership card, along with the emails of me joining and my membership renewals. Is there more I should provide, like maybe a letter explaining this? I am just curious if anyone else has been in this position and applied for ILR.

Any advice would be really appreciated. Thank you

I did call the Home Office helpline to ask them about this three times and each time, the person on the other side of the phone had never even heard of the Registered Traveller Scheme.

This means they have the records of your arrival anyway. This will have no effect on your ILR at all