No, it's very much stereotyping the English and presenting them as a monolithic society. You've made out like there's zero variety of opinion there which is what you'd expect from a country of more than 50 million!
There is actually no one set of opinion in England which can be demonstrated.
The idea that England supposedly has no sense of ties with Northern Ireland some push is just their own agenda showing. They've failed to understand that England is definitely not a monolithic society.
Polling more than bears that out.
From the 2020 YouGov poll:
"Despite more of the British public supporting a border poll than opposing one, more respondents prefer the outcome in which Northern Ireland stays put, with 37% saying it should remain part of the UK. The region sticking in the union has the most support across two of the three main parties, as well as both sides of the referendum."
Just 27% of respondents believe Northern Ireland should leave the UK.
People being in favour of a border poll doesn't necessarily mean they're in favour of a part leaving the union. Those are two different things.
The 2019 Ashcroft poll concluded:
".....most English voters would rather keep the union together if it were up to them – though they recognise it isn’t up to them."
43% of English people felt Scotland should remain in the UK and 35% felt Northern Ireland should remain in the UK.
41% of English feel it's up to the Scottish whether or not they stay and 43% feel it's up to the Northern Irish.
When asked if they had to choose between the UK and EU in the hypothetical they couldn't have both, 45% of English people felt Scotland should stay in the UK and 42% felt Northern Ireland should stay.
In contrast, 36% of English people felt leaving the EU was more important than keeping Scotland and 36% again in regards to Northern Ireland.
Final word to Ashcroft again:
"only a handful say that if either voted to leave the UK they would be happy to see them go. Of those who say it is for Scotland and Northern Ireland to decide, a large minority nevertheless say they would be sorry to see them leave if they chose do so. This means that, overall, most English voters would rather keep the union together if it were up to them – though they recognise it isn’t up to them."
Essentially, how the English feel about Northern Ireland as part of the Union is very similar to how they feel about Scotland.
Support for the Union in England has also recently increased too despite selective media reporting.
I'm Northern Irish and have family in England, so I know it very well. Like I said personal anecdotes are worthless in debates like this. See the Anecdotal Fallacy.
That's why I use data....