Sad to hear that, such a beautiful rose. I STAY AWAY from suckering roses. I spent 2 hours this summer killing Le Rire Nias (Centifolia) for sending a dozen suckers into my lawn and my peonies. Merry Christmas to you, Jay-jay, my favorite person in HMF. I hope you have a fun Christmas & and a great spring flush next year.
In a climate where roses stop growing over winter, that may be OK. It isn't in my Mediterranean climate (see for example photo www.helpmefind.com/rose/l.php?l=21.74538 ). The Mt Lofty Botanic Gardens removed most of their own-root Gallicas, Spinosissimas and seed-grown species roses, because the more aggressive ones grew over the top of the others, and you couldn't tell which label belonged to which plant.
I can imagine a Botanical or display garden might do that, but in ones own backyard one might choose to let them intertwine, but prevent maybe a "complete survival-of-the-fittest-slugfest".