No it isn't.
Meir "Mayor Mare" Mayer always felt a little nervous around spas. It wasn't that she didn't like facials and hooficures--not that she was extremely fond of them, mind you. It was that spas were usually the only places that carried her mane dye. The ponies of Ponyville might have forgotten the embarrassing exposé the Foal Free Press printed, thanks to a powerful memory wipe courtesy of a certain (great and) powerful blue unicorn, but every visit she made was another chance to blow her cover.
Luckily, she was not in Ponyville. She was far to the north, currently in the Crystal Empire for the Equestria Games. Here, she thought as she rummaged through her (naturally pink hair) for some bits, she was an unimportant nopony. Here, she could perpetuate her façade in peace. Here, she could run into Rainbow Dash. Wait, what?
No it isn't.
As Meir plopped the thirteen bits onto the counter, her eyes caught a somewhat disgruntled prismatic pegasus emerging from the sauna room, and her hair was... different. Yes, it was still rainbow-y, but a much lighter, pastel tone. Soft pinks and baby blues sat upon her head and behind her butt. The Mayor's eyes widened, and she put a hoof to her mouth to stifle the laughter threatening to issue from her swelled cheeks. Rainbow Dash used mane dye.
Rainbow, for her part, noticed a gray-maned mare holding a grey bottle checking out of the Crystal Empire's preeminent spa. Hints of bright pink splashed their way through the other wise drab strands of hair. Huh.
The mayor mare realized her vulnerability too late. Soon, a cocky pegasus was trotting up to her. "So, it looks like you and I both have some explaining to do, huh?"
Meir tensed up and scowled. "Rainbow, I trust you to keep this a secret. My political career is on the line."
Rainbow raised her eyes. "Oh yeah? I think you'd look good in pink. I think the world would too. What's to stop me from going to the press?"
Meir smirked. "I'll do the same to you. It's mutually assured destruction, Dashie."
Rainbow was unfazed. "Ahh, but Meir Mayer, or should I say, Mayor Mare, You're forgetting something. Unlike you, I have fans. And do you know what fans have?"
Meir nervously bit her lip. "Where are you going with this, Ms. Dash?"
Rainbow winked, lifted the tip of her hoof to her mouth, and whistled. Scootaloo and Featherweight materialized from behind a crystal column. Featherweight held something up, and a bright *FLASH* startled the mayor.
"Fans," Rainbow coolly finished, "have cameras. You don't." And she confidentially trotted back into the sauna.
Mayer gaped at the two kids now staring at her. That gape turned into a wicked smile. No one knows why Scootaloo and Featherweight never showed up to class on Monday. No one but Meir Mayer.