I suppose the other comparison is Anthony Armstrong-Jones, hence my query about it being an Earldom, but as you say Boxing, Eugenie is somewhat down the pecking order now, rather than the daughter or sister of the reigning monarch.
good question! maybe? consider Prince Michael and Princess Alexandra (the Hon Lady Ogilvy), children of the Duke of Kent, HM's uncle. Sir Angus Ogilvy was a second son and when he married her cousin Princess Alexandra, the Queen offered him an earldom (and other plums) but he declined. She did later make him RVO which gave him a 'sir'.
Historically, families would be working hard to marry their sons to these princesses of York.
According to the newspapers (what do they know? but there are some grains of truth to be gleaned), it seems that Charles is not keen on Andrew and has worked to distance Andrew and thus Bea and Eugie. Charles seems to be planning smaller/non-existant roles for the Yorks. Eugie has coped by finding a gallery job and a networking man. Her path will always be smoothed. Also it seems that HM has a soft spot for Andrew: he has created many a pickle and she has minimised them as best she could. BUT Eugie and Yorkie Bea do not have front row positions. So maybe she will offer to create him Earl of Somewhere but maybe Charles will put a damper on it.
I don't think there's any chance that he'll be given a title.
There's no public appetite for him to be titled, in fact it would bring negative publicity to them.
Also, the comparison with Princess Alexandra is slightly weakened (imo) by the fact that PA was a full-time working royal. She did a lot of work for the Queen over the years and I think that makes quite a difference.
Mark Phillips and Princess Anne refused a title for him, meaning their DC could not have titles, and Lady Sarah Chatto's husband wasn't ennobled. I think she's too far down the line of succession now.
If a Princess Charlotte marries a non-aristocrat when she is second in line, then perhaps something would be created for her spouse. But I think the crystal ball for that would need to be huge to guess what will seem fitting in 2+ decades time.