It's possible, but it's hard for me to see him keeping up appearances when he was going to the wildest parties in town, in female costume!
Although, as you point out, it could have been a role which came in handy if someone challenged him about his, er, lifestyle "My dear, I am a happily married man!" (they remained married all of Ernest's life, Janette outliving him by a few years)
Now I'm running into some quite wacky stuff, correspondence from Aleister Crowley to Ernest, asking him to read Crowley's "Hymn to Pan" at some meeting or other (Foyle's Literary Luncheon). One is not keeping up appearances by hanging out with the most infamous warlock on the planet.
On the other hand, Ernest was active in his church and dressed in proper frock coat and collar to pass the plate....
I can only find this book on googlebooks in Spanish, so my translation isn't the best, but here's the letter, more or less:
How are you, after so many years? The Foyles want to recite my "Hymn to Pan" instead of "Thank you" which usually opens the meeting. You'll want to do it? If it is so, please telephone me tomorrow early in the morning, or else at the Foyle home, to agree on the details.
Always yours, Aleister Crowley'
And here's Hymn to Pan, which you can recite in your head in Ernest's amazing voice:http://hermetic.com/crowley/book-4/hymn.html