Providing the 6mm flat twin and earth cable is installed clipped direct, away from thermal insulation, away from other cables and in an ambient temperature not exceeding 30deg C is the cable rated at 47A. Take into consideration volt drop (OK for about 36m @ 35A) and the cable length not being too long for efli for the Ze (which is where Securesparks 19m limit comes from?).
If the above is compliant, hopefully you have an EIC from when the CU was installed, and as you say you are swopping the shower for one of the same rating as the original then you can swop the shower as a direct replacement without notification to LABC.
If the above is compliant, hopefully you have an EIC from when the CU was installed, and as you say you are swopping the shower for one of the same rating as the original then you can swop the shower as a direct replacement without notification to LABC.