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.
We dumbly agree, out of convenience or some notion that if we wanted to read the paper edition we’d have to pay for it, but one can shell out cash for the paper, pick it up in a waiting room, read a friend’s copy, etc.
As soon as we attach a subscription to an online edition, all that happens is they get more data on us (as we are les inclined to delete their tracking cookies) whilst handing over solid confirmation that we are who they suspected we probably are.
If you must subscribe, use a dedicated browser & multiple measures to confound tracking.