If you read my post, you'll see that I believe passports are extremely important, and for solid practical reasons. The ability to open a bank account in the UK and in France using an Irish passport made a huge difference to two of my DCs who studied abroad during their undergrad years at American universities. The ability to apply for jobs in the EU or UK and emphasise that no visa would be required should they be hired is a massive advantage.
By the same token, encouraging an interest in my DCs' Irish heritage was absolutely something I felt was important for my own personal reasons too - and there is nothing unusual or wrong about that at all. The added perspective in their worldview is a huge plus, and their sense of connection to their large extended family across the pond is precious to them. Even little things like realising you look like the spit of your great uncle or your great grandmother when she was a young woman mean a lot.
As an Irish person whose ancestors settled or spent long periods of their lives on every continent, with those ancestors themselves or their descendants returning to Ireland in some cases, it's possible my perspective differs from yours. Maintaining the connection to family and to roots is very important for many people and just because you don't feel that doesn't mean it doesn't exist or someone else's descruption of it is irrelevant because 'anecdotal'. It's why emigrants go 'home' for Christmas or for holidays. It's why they do parades to celebrate important national days - Mexican Independence Day, Cinco de Mayo, Columbus Day, St Patrick's Day, and so on.
Every year, millions of people swab their cheeks and send off their DNA in hopes of finding out where their ancestors hailed from, many of them wishing that information hadn't been lost, whether through accidents of fate or deliberate suppression. People pay money to solve mysteries of heritage and obtain that sense of connection and identity.
There's a current thread here started by a Briton living in Southern Europe lamenting the fact that her child won't have the British childhood she had, and will not 'feel British' as she grows up. Many of the responses are from people who don't come from a society where emigration was a significant element of life. Some of the responses come from people who have experienced bringing up children in another country. Weirdly, a lot of Britons seem to think the OP shouldn't look back and are not really understanding what the OP is feeling. This comes from a lack of communal wisdom around emigration imo.