'Engineer of mathematics' and the like make sense given that academia has been fairly effective in making society believe 'science' means scientific research, r

'Engineer of mathematics' and the like make sense given that academia has been fairly effective in making society believe 'science' means scientific research, rather than all of the scientific pursuits including engineering and manufacturing. (Talking about language here, not state regulation of professions). There are employees at the company I work with great job titles like 'mathematician' and 'physicist'. But if the physicist is applying known principles (obscure ones about photon behaviour, but well-understood principles) to product development rather than blue-sky R&D, what is their actual job? - Given many people would think a physicist is a researcher. There's an argument that the job in question is actually 'physics engineer'.