Hello Jack from pro-coat painting here, personally I would take the paper off and start again, although it is a light pattern it could still show through resulting in you wasting your time and money, but at the end of the day it's your call.

Even a heavy lining paper will notake a good job over a textured paper, plus the existing paper may bubble compounding the problem. Hire a steamsteam stripper and have done with it.

Agree with above comments. If you did use a heavy duty lining paper it would need to be applied horizontally but even then you may get problems of the texture showing through, unevenness at the joins where it won’t adhere because of the texture, bubbles or lifting because of the extra layers, and it might make it difficult to remove later on because of the extra adhesive and paint. I would either paint with a trade Matt paint so the texture is not so obvious or strip and re do.

I’ve attempted one wall and it looks shocking so off it all comes!