If you set the Sekonic to trigger just via a radio insert vs. "standby, wait to see flash", it would solve the issue (same as if plugging a PW or AiR unit via the sync port).
The only issue of course is that you'd need a PW receiver for the strobe(s).
I used to use Sekonic 358s, but now use a Gossen and just plug an AiR unit into the sync port via a short cord. I also fasten one of these adhesive cold shoes (they're the same ones Profoto sells) on the back of the Gossen. Hell, I have them stuck all over the place.
http://www.bhphotovideo.com/c/product/613979-REG/Impact_9031540_Adhesive_Backed_Accessory_Shoe_2_Pack.htmlI just wanted to mention I had a basic Air Transceiver for sale so it wouldn't LOOK like I was trying to sell one ;> It's CDN$150 shipped in NA via Canada Post. No case, manual, etc. Just the unit and a lanyard. I have too many of them.
Regardless if/where you buy one, the nice thing about having an AiR unit is that should the TTL version die, you have a spare trigger on hand. B&H also sometimes has them on sale used as well - including the full remote power-control version (which mine is not).
Your issue is an odd one and a PITA, but good to know. Light meters in standby mode picking up LED flickr is something no one thought of. Many folks apparently see it in LED Xmas lights, etc - the flicker being caused by the AC line cycle and the driver used for the LEDs.
If Profoto made light meters, it might not have happened, but since it's a TTL unit, I think most users won't even notice.