Possibly not, and it is worth answering honestly before anyone signs a contract.
A spreadsheet is perfectly adequate when you have a small independent property, few product lines and one disciplined person who owns the count.
It is time to upgrade when you have several departments ordering separately, more than one property, recurring stockouts, or reporting that needs consumption and supplier data on demand.
What to look for: integration with your property management system and accounting software, mobile counting so housekeeping can log figures where they work, par and reorder automation, supplier management, and reporting. Above all, choose something your team will take to willingly.
Software enforces a good process; it does not create one. Put the list, the par levels and the ownership in place first, and the software will more than earn its keep.