Nah, they’re nutters with very weird ideas about Britishness, Irishness & everything else, but they no more look to the English for ideas about their own identity & how to manifest it than the English look to NI loyalists as a guide.
If anything they tend to rather despise Englishness, seeing their own culture as the one true, loyal holdout to the Union.
The aprons do seek to emulate Masonic regalia, but the ideals of the Orange Order are entirely contrary to those of Freemasonry, which in any case is not specifically English or even British.
Keeping a few of those little lens cleaning cloths in convenient places is about all I can think of. They launder fine too, if you notice any become less effective at removing smears.
If you ever need a new prescription, they should be able to put the new lenses in your current frame. Similarly, if your frame ever gets broken but your lenses are undamaged, they can pop them in a new frame. That said, keeping old glasses as spares is useful, and it can be fun to have new frames.