Yes, it does matter as there is clear guidance on what cos to use in which situation. Ask your employer to read this guide:
https://www.google.co.uk/url?q=https:// ... klkeBOtmgg
29.45 You must only assign a restricted CoS to a migrant who needs one. You
should not assign a restricted CoS to:
• a migrant who will be applying from within the UK, unless they were last
granted as a Tier 4 dependant
• a migrant whose salary will be £159,600 or higher
• a migrant who will be posted from an overseas firm in connection with the
relocation of a high value business to the UK or a significant new inward
investment project
29.46 You must only assign a restricted CoS if you intend to employ the migrant on
the conditions stated on the application you made for it, or in any sponsor note
added in the circumstances permitted above.
This could be if:
• the salary you pay to a migrant whose application for leave was supported
by a restricted CoS is lower than the salary stated on your application for
that CoS or the salary stated in any sponsor note that you have added to
that CoS
• you said you had carried out a resident labour market test that met the
requirements of this guidance, but you had failed to do so
If we subsequently find that you gave false information on your application for
a restricted CoS, we will revoke your sponsor licence.
My advice is based on personal research/experience, so pls check relevant UKVI sources.