That is an implementation detail and at least here in Germany typically not the case for glass and thick walled reusable plastic. Cleaning glass bottles and reusing them is the norm here and the system exists country wide so it is literally workable at scale and other countries could if they wanted just copy legislation and the physical infrastructure for this to happen.

It apparently also has some flaws ( regulatory capture will do that to laws under capitalism) but the last sentence of the Germany section basically is enough evidence that this kind of system works and reuses bottles.

At any given time, an estimated 2 billion beer bottles are in circulation in Germany, each of which sees an average of 36 reuses.

Moreover even if not reusing deposit still gives way better return rates than any other method of recycling, at the very least keeping trash in a managed somewhat circular system. The Car battery recycling structure is also deposit based and very successful in recovering the toxic lead in these things. So even non reuse deposits have great upside to the alternative of not having deposits.