It seems I'm not the only one to have compared the wonderful red dress worn by Stockard Channing in The Importance of Being Earnest to the style of the "Mother Monster", Lady Gaga. Fans of Stockard (and at least one other reviewer) also spotted the resemblance.
In the interest of accuracy over speculation, I asked the production company about this. It is, perhaps unsurprisingly, just a coincidence. The costume designer would have worked with the director and actress to create a costume that fitted with the character and the production.
I for one approve of the result. It might not be Gaga, but it's good.