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https://anno1800.fandom.com/wiki/Anno_1800_Needs_Calculators_Overview
Apparently, workers use the same amount or more work clothes per 100 population than farmers. Also keep in mind that worker houses have more population capacity than farmer houses. All in all, you'd probably lose more workers than farmers if you cut work clothes supply.
General recommendation, though: Either supply enough of something, or nothing at all. Makes your system more stable overall.
I think you are right about more workers being lost. When I run out of work clothes, the worker population is what takes the biggest dive. Since they man the basic services, that hurts!
When you click a building and hover the cursor over a need a tooltip will appear. It'll tell you what you get when the need is fulfilled and what you are currently getting out of it.
So if it tells you for example the need provides +2 Citizens and +5 Income you multiply that by the amount of buildings (statistics screen knows) and get what you will lose when the need is lost.
Edit:
Looks like work clothes provide +2 citizens for both tiers - farmers and workers (but workers will pay more for it and use more as well).
So, if your worker population took a bigger hit that simply means you also have more worker buildings.
With later population tiers that will change. For example sausages will provide 3 workers or 6 artisans. So, losing sausages will indeed hit an artisan building harder than it'll hit a worker building.